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A299336 Expansion of 1 / ((1 - x)^7*(1 + x)^4). 4
1, 3, 10, 22, 49, 91, 168, 280, 462, 714, 1092, 1596, 2310, 3234, 4488, 6072, 8151, 10725, 14014, 18018, 23023, 29029, 36400, 45136, 55692, 68068, 82824, 99960, 120156, 143412, 170544, 201552, 237405, 278103, 324786, 377454, 437437, 504735, 580888, 665896 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Jia Huang, Partially Palindromic Compositions, J. Int. Seq. (2023) Vol. 26, Art. 23.4.1. See p. 4.
Index entries for linear recurrences with constant coefficients, signature (3,1,-11,6,14,-14,-6,11,-1,-3,1).
FORMULA
a(n) = (2*n^6 + 66*n^5 + 860*n^4 + 5640*n^3 + 19568*n^2 + 33984*n + 23040) / 23040 for n even.
a(n) = (2*n^6 + 66*n^5 + 860*n^4 + 5580*n^3 + 18578*n^2 + 28914*n + 15120) / 23040 for n odd.
a(n) = 3*a(n-1) + a(n-2) - 11*a(n-3) + 6*a(n-4) + 14*a(n-5) - 14*a(n-6) - 6*a(n-7) + 11*a(n-8) - a(n-9) - 3*a(n-10) + a(n-11) for n>10.
PROG
(PARI) Vec(1 / ((1 - x)^7*(1 + x)^4) + O(x^40))
CROSSREFS
Sequence in context: A248851 A023554 A294414 * A222629 A070880 A321335
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Feb 07 2018
STATUS
approved

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Last modified May 21 00:58 EDT 2024. Contains 372720 sequences. (Running on oeis4.)