A220653 - OEIS

A220653

a(n) = n^11 + 11*n + 11^n.

1, 23, 2191, 178511, 4208989, 48989231, 364568683, 1996813991, 8804293561, 33739007399, 125937424711, 570623341343, 3881436747541, 36314872538111, 383799398753059, 4185897925275191, 45967322049616753, 505481300395601591, 5559981581902310911, 61159206938673444719

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OFFSET

0,2

COMMENTS

This is to A220425 as 11 is to 2, to A220509 as 11 is to 3, to A220511 as 11 is to 5, and to A220528 as 11 is to 7.

The subsequence of primes begins: 23, 4185897925275191, see A220787 for the associated n.

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (2,1,-4,1,2,-1).

FORMULA

a(n) = A008455(n) + A008593(n) + A001020(n).

G.f.: (131*x^12 +21186*x^11 +1682460*x^10 +24070936*x^9 +104942001*x^8 +163196604*x^7 +91422264*x^6 +14484216*x^5 -518211*x^4 -131726*x^3 -1860*x^2 -1) / ((x -1)^12*(11*x -1)). - Colin Barker, May 09 2013

EXAMPLE

a(1) = 1^11 + 11*1 + 11^1 = 23.

MATHEMATICA

Table[n^11 + 11*n + 11^n, {n, 0, 30}] (* T. D. Noe, Dec 17 2012 *)

PROG

(Maxima) A220653(n):=n^11+11*n+11^n$ makelist(A220653(n), n, 0, 20); /* Martin Ettl, Dec 17 2012 */

CROSSREFS

Cf. A008455, A008593, A001020, A220425, A220509, A220511, A220528, A220787.

Sequence in context: A064016 A263462 A138735 * A281787 A132937 A068655

Adjacent sequences: A220650 A220651 A220652 * A220654 A220655 A220656

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Dec 17 2012

EXTENSIONS

a(19) from Stefano Spezia, May 03 2025

STATUS

approved