A220528 a(n) = n^7 + 7*n + 7^n.

1, 15, 191, 2551, 18813, 94967, 397627, 1647135, 7862009, 45136639, 292475319, 1996813991, 13877119093, 96951759015, 678328486451, 4747732369423, 33233199005169, 232630924325999, 1628414210130607, 11398896079245015, 79792267577612141, 558545865884372695

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (15,-84,252,-462,546,-420,204,-57,7).

Formula

a(n) = A001015(n) + A008589(n) + A000420(n).

G.f.: (55*x^8+546*x^7+8966*x^6+14692*x^5+6726*x^4-694*x^3-50*x^2-1) / ((x-1)^8*(7*x-1)). - Colin Barker, May 09 2013

Example

a(1) = 1^7 + 7*1 + 7^1 = 15.
a(2) = 2^7 + 7*2 + 7^2 = 191.

Mathematica

Table[n^7 + 7*n + 7^n, {n, 0, 30}] (* T. D. Noe, Dec 17 2012 *)

Prog

(Maxima) makelist(n^7 + 7*n + 7^n, n, 0, 20); /* Martin Ettl, Jan 15 2013 */

Crossrefs

Cf. A000420, A001015, A008589, A220425, A220509, A220511, A220703.

Sequence in context: A004344 A038339 A051545 * A006238 A201883 A324357

Adjacent sequences: A220525 A220526 A220527 * A220529 A220530 A220531

Keyword

nonn,easy

Author

Jonathan Vos Post, Dec 15 2012

Status

approved