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A144126 P_6(2n+1), the Legendre polynomial of order 6 at 2n+1. 2
1, 8989, 213445, 1651609, 7544041, 25289461, 69125869, 163456945, 346843729, 676661581, 1234422421, 2131762249, 3517093945, 5582925349, 8573842621, 12795158881, 18622228129, 26510424445, 37005786469, 50756327161 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

a(n) = 924*n^6+2772*n^5+3150*n^4+1680*n^3+420*n^2+42*n+1. - Vaclav Kotesovec, Jul 31 2013

MATHEMATICA

Table[LegendreP[6, 2n+1], {n, 0, 50}] (* N. J. A. Sloane, Nov 17 2009 *)

PROG

(PARI) a(n)=pollegendre(6, n+n+1) \\ Charles R Greathouse IV, Oct 25 2011

CROSSREFS

Cf. A160739.

Sequence in context: A234755 A230839 A251234 * A263062 A215198 A202531

Adjacent sequences:  A144123 A144124 A144125 * A144127 A144128 A144129

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Sep 11 2008

EXTENSIONS

Definition corrected by N. J. A. Sloane, Nov 17 2009

STATUS

approved

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Last modified September 25 11:05 EDT 2018. Contains 315389 sequences. (Running on oeis4.)