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A160865 128*P_11(n), 128 times the Legendre polynomial of order 11 at n. 1
0, 128, 43793863, 5765980032, 156401023862, 1935682046080, 14862118997493, 82608952539008, 363455410347052, 1339359393716352, 4294566953004035, 12309095341172608, 32166963447719778, 77797775304659072, 176169028327719217, 376942917127098240, 767724795122229848 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

FORMULA

From Colin Barker, Aug 04 2019: (Start)

G.f.: x*(128 + 43792327*x + 5240462124*x^2 + 90099630276*x^3 + 429789855348*x^4 + 709564273194*x^5 + 429789855348*x^6 + 90099630276*x^7 + 5240462124*x^8 + 43792327*x^9 + 128*x^10) / (1 - x)^12.

a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12) for n>11.

(End)

MATHEMATICA

Table[128*LegendreP[11, n], {n, 0, 100}] (* T. D. Noe, Mar 27 2012 *)

PROG

(PARI) a(n)=pollegendre(11, n)<<7 \\ Charles R Greathouse IV, Oct 26 2011

(PARI) concat(0, Vec(x*(128 + 43792327*x + 5240462124*x^2 + 90099630276*x^3 + 429789855348*x^4 + 709564273194*x^5 + 429789855348*x^6 + 90099630276*x^7 + 5240462124*x^8 + 43792327*x^9 + 128*x^10) / (1 - x)^12 + O(x^40))) \\ Colin Barker, Aug 04 2019

CROSSREFS

Sequence in context: A017095 A017191 A017299 * A017419 A121702 A017551

Adjacent sequences:  A160862 A160863 A160864 * A160866 A160867 A160868

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 19 2009

STATUS

approved

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Last modified September 22 00:42 EDT 2020. Contains 337276 sequences. (Running on oeis4.)