• a k-regular sequence is a sequence satisfying linear recurrence equations that reflect the base-k representations of the integers. The class of k-regular...
    14 KB (2,353 words) - 19:12, 31 January 2025
  • In commutative algebra, a regular sequence is a sequence of elements of a commutative ring which are as independent as possible, in a precise sense. This...
    9 KB (1,241 words) - 09:40, 11 July 2025
  • Thumbnail for Regular paperfolding sequence
    In mathematics the regular paperfolding sequence, also known as the dragon curve sequence, is an infinite sequence of 0s and 1s. It is obtained from the...
    6 KB (1,016 words) - 14:17, 24 September 2024
  • Thumbnail for Cauchy sequence
    / k {\displaystyle 1/k} ). The existence of a modulus also follows from the principle of countable choice. Regular Cauchy sequences are sequences with...
    20 KB (3,225 words) - 01:34, 1 July 2025
  • automatic sequence (also called a k-automatic sequence or a k-recognizable sequence when one wants to indicate that the base of the numerals used is k) is an...
    23 KB (3,157 words) - 06:16, 3 July 2025
  • base k, and accepting if m = s(n). The class of k-synchronized sequences lies between the classes of k-automatic sequences and k-regular sequences. Let...
    5 KB (625 words) - 05:21, 12 March 2025
  • Thumbnail for Constant-recursive sequence
    in a k {\displaystyle k} -regular sequence is a linear combination of s m {\displaystyle s_{m}} for some integers m {\displaystyle m} whose base- k {\displaystyle...
    38 KB (5,035 words) - 16:31, 7 July 2025
  • equal to each other. A regular graph with vertices of degree k is called a kregular graph or regular graph of degree k. Regular graphs of degree at most...
    7 KB (1,017 words) - 07:54, 29 June 2025
  • Thumbnail for Sequence
    Constant-recursive sequence Geometric progression Harmonic progression Holonomic sequence Regular sequence Pseudorandom binary sequence Random sequence Related concepts...
    40 KB (6,176 words) - 14:32, 15 July 2025
  • Thumbnail for Fibonacci sequence
    z ) = ∑ k = 0 ∞ F k z k − ∑ k = 0 ∞ F k z k + 1 − ∑ k = 0 ∞ F k z k + 2 = ∑ k = 0 ∞ F k z k − ∑ k = 1 ∞ F k − 1 z k − ∑ k = 2 ∞ F k − 2 z k = 0 z 0 +...
    85 KB (12,946 words) - 22:47, 28 July 2025
  • Thumbnail for Regular expression
    A regular expression (shortened as regex or regexp), sometimes referred to as a rational expression, is a sequence of characters that specifies a match...
    97 KB (8,871 words) - 07:36, 4 August 2025
  • 461, 463, 467, 491, 523, 541, 547, 557, 577, 587, 593, ... (sequence A000928 in the OEIS) K. L. Jensen (a student of Niels Nielsen) proved in 1915 that...
    20 KB (2,781 words) - 07:26, 21 July 2025
  • Thumbnail for Regular number
    subsequence of the infinite sequence of regular numbers, ranging from 60 k {\displaystyle 60^{k}} to 60 k + 1 {\displaystyle 60^{k+1}} . See Gingerich (1965)...
    27 KB (3,277 words) - 20:49, 3 February 2025
  • limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a regular apeirogon...
    31 KB (3,060 words) - 07:25, 30 July 2025
  • Thumbnail for Degree (graph theory)
    its vertex degrees. A sequence is k {\displaystyle k} -graphic if it is the degree sequence of some simple k {\displaystyle k} -uniform hypergraph. In...
    10 KB (1,276 words) - 13:10, 18 November 2024
  • solution S {\displaystyle S} with a corresponding sequence of regular grid spacings ( h k ) {\displaystyle (h_{k})} that converge to 0 is said to have asymptotic...
    34 KB (5,628 words) - 01:46, 27 June 2025
  • is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to OEIS...
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  • Thumbnail for Euclidean tilings by convex regular polygons
    single regular hexagon. However, this notation has two main problems related to ambiguous conformation and uniqueness First, when it comes to k-uniform...
    32 KB (2,009 words) - 01:08, 16 April 2025
  • Thumbnail for Limit of a sequence
    previous sequence, defined by 0.3333... := lim n → ∞ ∑ k = 1 n 3 10 k {\displaystyle 0.3333...:=\lim _{n\to \infty }\sum _{k=1}^{n}{\frac {3}{10^{k}}}} Finding...
    27 KB (4,500 words) - 19:26, 28 July 2025
  •  J. A. (ed.). "Sequence A007267 (Expansion of 16 * (1 + k^2)^4 /(k * k'^2)^2 in powers of q where k is the Jacobian elliptic modulus, k' the complementary...
    15 KB (2,199 words) - 21:12, 21 June 2025
  • (ed.). "Sequence A007530 (Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation...
    146 KB (24,122 words) - 19:13, 30 July 2025
  • Thumbnail for Stellar classification
    under the Morgan–Keenan (MK) system using the letters O, B, A, F, G, K, and M, a sequence from the hottest (O type) to the coolest (M type). Each letter class...
    107 KB (11,666 words) - 18:43, 18 July 2025
  • Thumbnail for String (computer science)
    In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable. The latter may allow...
    41 KB (5,027 words) - 16:16, 11 May 2025
  • Thumbnail for Strongly regular graph
    In graph theory, a strongly regular graph (SRG) is a regular graph G = (V, E) with v vertices and degree k such that for some given integers λ , μ ≥ 0...
    21 KB (3,491 words) - 19:25, 2 June 2025
  • 7
    Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-01-09. Grünbaum, Branko; Shepard, Geoffrey (November 1977). "Tilings by Regular Polygons" (PDF)...
    29 KB (2,747 words) - 19:53, 14 June 2025
  • operations: union K ∪ L, intersection K ∩ L, and complement L, hence also relative complement K − L. the regular operations: K ∪ L, concatenation ⁠ K ∘ L {\displaystyle...
    29 KB (3,422 words) - 15:02, 18 July 2025
  • These characters appear in the American animated television series Regular Show, created by J. G. Quintel for Cartoon Network. The series revolves around...
    202 KB (31,774 words) - 14:52, 3 August 2025
  • Thumbnail for Main sequence
    main-sequence star B-type main-sequence star A-type main-sequence star F-type main-sequence star G-type main-sequence star K-type main-sequence star M-type...
    62 KB (6,912 words) - 13:48, 31 July 2025
  • spectral sequence. Consider a fiber-oriented sphere bundle with total space E, base space M, fiber Sk and projection map π {\displaystyle \pi } : S k ↪ E ⟶...
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  • the sequence of k-hyperperfect numbers are 6, 21, 28, 301, 325, 496, 697, ... (sequence A034897 in the OEIS), with the corresponding values of k being...
    10 KB (643 words) - 00:21, 30 July 2025