A017179 (9n+1)^7.

1, 10000000, 893871739, 13492928512, 94931877133, 435817657216, 1522435234375, 4398046511104, 11047398519097, 24928547056768, 51676101935731, 100000000000000, 182803912081669, 318547390056832

Offset

0,2

Links

Table of n, a(n) for n=0..13.

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

Formula

a(0)=1, a(1)=10000000, a(2)=893871739, a(3)=13492928512, a(4)=94931877133, a(5)=435817657216, a(6)=1522435234375, a(7)=4398046511104; for n>7, a(n) = 8*a(n-1) -28*a(n-2) +56*a(n-3) -70*a(n-4) +56*a(n-5) -28*a(n-6) +8*a(n-7) -a(n-8). - Harvey P. Dale, Jan 16 2014

Mathematica

(9*Range[0, 20]+1)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 10000000, 893871739, 13492928512, 94931877133, 435817657216, 1522435234375, 4398046511104}, 20] (* Harvey P. Dale, Jan 16 2014 *)

Crossrefs

Sequence in context: A033425 A153751 A027664 * A017275 A017515 A017647

Adjacent sequences: A017176 A017177 A017178 * A017180 A017181 A017182

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved