A017095 a(n) = (8*n + 2)^7.

128, 10000000, 612220032, 8031810176, 52523350144, 230539333248, 781250000000, 2207984167552, 5455160701056, 12151280273024, 24928547056768, 47829690000000, 86812553324672, 150363025899136, 250226879128704, 402271083010688, 627485170000000, 953133216331392, 1414067010444416

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

Formula

From Amiram Eldar, Apr 24 2023: (Start)

a(n) = A017089(n)^7.

a(n) = 2^7*A016819(n).

Sum_{n>=0} 1/a(n) = 61*Pi^7/47185920 + 127*zeta(7)/32768. (End)

Mathematica

Table[(8*n + 2)^7, {n, 0, 20}] (* Amiram Eldar, Apr 24 2023 *)

Prog

(Magma) [(8*n+2)^7: n in [0..30]]; // Vincenzo Librandi, Jul 12 2011

Crossrefs

Cf. A013665, A016819, A017089 (8n+2), A001015 (n^7).

Sequence in context: A017011 A196995 A214389 * A017191 A017299 A160865

Adjacent sequences: A017092 A017093 A017094 * A017096 A017097 A017098

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved