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A017577
a(n) = (12n+4)^9.
0
262144, 68719476736, 10578455953408, 262144000000000, 2779905883635712, 18014398509481984, 84590643846578176, 316478381828866048, 1000000000000000000, 2773078757450186752, 6930988311686938624, 15916595351771938816, 34068690316840665088, 68719476736000000000
OFFSET
0,1
LINKS
FORMULA
From Amiram Eldar, Jul 14 2024: (Start)
a(n) = A001017(A017569(n)) = A017569(n)^9.
a(n) = 262144 * A016785(n).
Sum_{n>=0} 1/a(n) = 809*Pi^9/(7313988648960*sqrt(3)) + 9841*zeta(9))/5159780352. (End)
MATHEMATICA
(12*Range[0, 30]+4)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {262144, 68719476736, 10578455953408, 262144000000000, 2779905883635712, 18014398509481984, 84590643846578176, 316478381828866048, 1000000000000000000, 2773078757450186752}, 40] (* Harvey P. Dale, Sep 07 2018 *)
CROSSREFS
KEYWORD
nonn,easy
EXTENSIONS
More terms from Amiram Eldar, Jul 14 2024
STATUS
approved