A017409 a(n) = (11n+1)^9.

1, 5159780352, 1801152661463, 60716992766464, 756680642578125, 5416169448144896, 27206534396294947, 106868920913284608, 350356403707485209, 1000000000000000000, 2558036924386500591

Offset

0,2

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)=1, a(1)=5159780352, a(2)=1801152661463, a(3)=60716992766464, a(4)=756680642578125, a(5)=5416169448144896, a(6)=27206534396294947, a(7)=106868920913284608, a(8)=350356403707485209, a(9)=1000000000000000000, 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, Mar 13 2013

Mathematica

(11*Range[0, 20]+1)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1, 5159780352, 1801152661463, 60716992766464, 756680642578125, 5416169448144896, 27206534396294947, 106868920913284608, 350356403707485209, 1000000000000000000}, 20] (* Harvey P. Dale, Mar 13 2013 *)

Crossrefs

Sequence in context: A216013 A158726 A338394 * A017529 A321497 A335084

Adjacent sequences: A017406 A017407 A017408 * A017410 A017411 A017412

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved