

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
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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



