A054606 a(n) = Sum_{d|7} phi(d)*n^(7/d).

0, 7, 140, 2205, 16408, 78155, 279972, 823585, 2097200, 4783023, 10000060, 19487237, 35831880, 62748595, 105413588, 170859465, 268435552, 410338775, 612220140, 893871853, 1280000120, 1801088667, 2494358020, 3404825585, 4586471568, 6103515775, 8031810332, 10460353365

Offset

0,2

Links

Seiichi Manyama, 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

a(n) = n^7 + 6*n.

G.f.: 7*x*(x^6+12*x^5+183*x^4+328*x^3+183*x^2+12*x+1) / (x-1)^8. - Colin Barker, Dec 21 2012

Mathematica

A054606[n_] := n*(n^6 + 6); Array[A054606, 30, 0] (* Paolo Xausa, Jun 04 2026 *)

Crossrefs

Row n=7 of A185651.

Sequence in context: A288322 A297650 A085708 * A351280 A306628 A302912

Adjacent sequences: A054603 A054604 A054605 * A054607 A054608 A054609

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 16 2000

Status

approved