A017551 a(n) = (12*n + 2)^7.

128, 105413504, 8031810176, 114415582592, 781250000000, 3521614606208, 12151280273024, 34792782221696, 86812553324672, 194871710000000, 402271083010688, 775771085481344, 1414067010444416, 2458100350228352

Offset

0,1

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(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); a(0)=128, a(1)=105413504, a(2)=8031810176, a(3)=114415582592, a(4)=781250000000, a(5)=3521614606208, a(6)=12151280273024, a(7)=34792782221696. - Harvey P. Dale, Jan 13 2013

Mathematica

(12*Range[0, 20]+2)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {128, 105413504, 8031810176, 114415582592, 781250000000, 3521614606208, 12151280273024, 34792782221696}, 20] (* Harvey P. Dale, Jan 13 2013 *)

Crossrefs

Sequence in context: A160865 A017419 A121702 * A087929 A034062 A241311

Adjacent sequences: A017548 A017549 A017550 * A017552 A017553 A017554

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved