A244881 Expansion of (1 + 26*x + 109*x^2 + 109*x^3 + 26*x^4 + x^5) / (1 - x)^8.

1, 34, 353, 2037, 8272, 26585, 72302, 173502, 377739, 760804, 1437799, 2576795, 4415346, 7280131, 11609996, 17982668, 27145413, 40049910, 57891613, 82153873, 114657092, 157613181, 213685594, 286055210, 378492335, 495435096, 642074499, 824446423, 1049530822

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Rida Ait El Manssour and Anna-Laura Sattelberger, Combinatorial Differential Algebra of x^p, arXiv:2102.03182 [math.AG], 2021. Mentions this sequence.

R. P. Stanley, Examples of Magic Labelings, Unpublished Notes, 1973 [Cached copy, with permission]. See page 31.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

From Colin Barker, Jan 12 2017: (Start)

a(n) = (2520 + 11526*n + 22617*n^2 + 24724*n^3 + 16275*n^4 + 6454*n^5 + 1428*n^6 + 136*n^7) / 2520.

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>7.

(End)

Prog

(PARI) Vec((1 + x)*(1 + 25*x + 84*x^2 + 25*x^3 + x^4) / (1 - x)^8 + O(x^30)) \\ Colin Barker, Jan 12 2017

Crossrefs

Sequence in context: A301954 A368719 A362953 * A296833 A202413 A168122

Adjacent sequences: A244878 A244879 A244880 * A244882 A244883 A244884

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 08 2014

Status

approved