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A056118 a(n) = (11*n+5)*(n+4)*(n+3)*(n+2)*(n+1)/120. 3
1, 16, 81, 266, 686, 1512, 2982, 5412, 9207, 14872, 23023, 34398, 49868, 70448, 97308, 131784, 175389, 229824, 296989, 378994, 478170, 597080, 738530, 905580, 1101555, 1330056, 1594971, 1900486, 2251096, 2651616, 3107192, 3623312 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

a(n) = (11*n+5)*binomial(n+4,4)/5.

G.f.: (1+10*x)/(1-x)^6.

a(0)=1, a(1)=16, a(2)=81, a(3)=266, a(4)=686, a(5)=1512; for n>5, a(n) = 6*a(n-1)- 15*a(n-2)+ 20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - Harvey P. Dale, Oct 18 2013

MATHEMATICA

Table[((11n+5)Times@@(n+Range[4]))/120, {n, 0, 40}] (* or *) LinearRecurrence[ {6, -15, 20, -15, 6, -1}, {1, 16, 81, 266, 686, 1512}, 40] (* Harvey P. Dale, Oct 18 2013 *)

CROSSREFS

Cf. A055268.

Sequence in context: A113316 A113317 A187457 * A134606 A108941 A153157

Adjacent sequences:  A056115 A056116 A056117 * A056119 A056120 A056121

KEYWORD

nonn,easy

AUTHOR

Barry E. Williams, Jul 04 2000

STATUS

approved

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Last modified October 23 15:13 EDT 2018. Contains 316528 sequences. (Running on oeis4.)