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A220653 n^11 + 11*n + 11^n. 4

%I #22 May 09 2013 09:22:28

%S 1,23,2191,178511,4208989,48989231,364568683,1996813991,8804293561,

%T 33739007399,125937424711,570623341343,3881436747541,36314872538111,

%U 383799398753059,4185897925275191,45967322049616753,505481300395601591,5559981581902310911

%N n^11 + 11*n + 11^n.

%C 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.

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

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

%F 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

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

%t Table[n^11 + 11*n + 11^n, {n, 0, 30}] (* _T. D. Noe_, Dec 17 2012 *)

%o (Maxima) A220653(n):=n^11+11*n+11^n$ makelist(A220653(n),n,0,20); /* _Martin Ettl_, Dec 17 2012 */

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

%K nonn,easy

%O 0,2

%A _Jonathan Vos Post_, Dec 17 2012

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)