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A160743 8*P_7(n), 8 times the Legendre Polynomial of order 7 at n. 2
0, 8, 17593, 389112, 3169562, 15694600, 57385803, 170880248, 438565492, 1005601032, 2110507325, 4124403448, 7599974478, 13331249672, 22425272527, 36386743800, 57216718568, 87526438408, 130667379777, 190878599672, 273452459650, 384919809288, 533255710163 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = n*(429*n^6-693*n^4+315*n^2-35)/2. - Vaclav Kotesovec, Jul 31 2013

MAPLE

A160743 := proc(n)

        8*orthopoly[P](7, n) ;

end proc: # R. J. Mathar, Oct 24 2011

MATHEMATICA

Table[8 LegendreP[7, n], {n, 0, 50}]

PROG

(PARI) a(n)=pollegendre(7, n)<<3 \\ Charles R Greathouse IV, Oct 24 2011

CROSSREFS

Sequence in context: A247975 A198404 A079597 * A079182 A079172 A173543

Adjacent sequences:  A160740 A160741 A160742 * A160744 A160745 A160746

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 17 2009

STATUS

approved

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Last modified February 15 22:28 EST 2019. Contains 320138 sequences. (Running on oeis4.)