This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A220653 #28 May 04 2025 04:21:59 %S A220653 1,23,2191,178511,4208989,48989231,364568683,1996813991,8804293561, %T A220653 33739007399,125937424711,570623341343,3881436747541,36314872538111, %U A220653 383799398753059,4185897925275191,45967322049616753,505481300395601591,5559981581902310911,61159206938673444719 %N A220653 a(n) = n^11 + 11*n + 11^n. %C A220653 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 A220653 The subsequence of primes begins: 23, 4185897925275191, see A220787 for the associated n. %H A220653 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,-4,1,2,-1). %F A220653 a(n) = A008455(n) + A008593(n) + A001020(n). %F A220653 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 A220653 a(1) = 1^11 + 11*1 + 11^1 = 23. %t A220653 Table[n^11 + 11*n + 11^n, {n, 0, 30}] (* _T. D. Noe_, Dec 17 2012 *) %o A220653 (Maxima) A220653(n):=n^11+11*n+11^n$ makelist(A220653(n),n,0,20); /* _Martin Ettl_, Dec 17 2012 */ %Y A220653 Cf. A008455, A008593, A001020, A220425, A220509, A220511, A220528, A220787. %K A220653 nonn,easy %O A220653 0,2 %A A220653 _Jonathan Vos Post_, Dec 17 2012 %E A220653 a(19) from _Stefano Spezia_, May 03 2025