A017613 (12n+7)^9.

40353607, 322687697779, 26439622160671, 502592611936843, 4605366583984375, 27206534396294947, 119851595982618319, 427929800129788411, 1304773183829244583, 3517876291919921875, 8594754748609397887

Offset

0,1

Links

Table of n, a(n) for n=0..10.

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Formula

a(0)=40353607, a(1)=322687697779, a(2)=26439622160671, a(3)=502592611936843, a(4)=4605366583984375, a(5)=27206534396294947, a(6)=119851595982618319, a(7)=427929800129788411, a(8)=1304773183829244583, a(9)=3517876291919921875, a(n)= 10*a(n-1)- 45*a(n-2)+ 120*a(n-3)-210*a(n-4)+252*a(n-5)-210*a(n-6)+120*a(n-7)- 45*a(n-8)+ 10*a(n-9)- a(n-10). - Harvey P. Dale, Jan 11 2016

Mathematica

(12*Range[0, 20]+7)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {40353607, 322687697779, 26439622160671, 502592611936843, 4605366583984375, 27206534396294947, 119851595982618319, 427929800129788411, 1304773183829244583, 3517876291919921875}, 20] (* Harvey P. Dale, Jan 11 2016 *)

Crossrefs

Sequence in context: A017253 A017361 A017481 * A015409 A178204 A334583

Adjacent sequences: A017610 A017611 A017612 * A017614 A017615 A017616

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved