cp's OEIS Frontend

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.

A017171 a(n) = (9*n)^11.

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%I A017171 #21 Jul 17 2025 19:59:53
%S A017171 0,31381059609,64268410079232,5559060566555523,131621703842267136,
%T A017171 1532278301220703125,11384956040305711104,62050608388552823487,
%U A017171 269561249468963094528,984770902183611232881,3138105960900000000000
%N A017171 a(n) = (9*n)^11.
%C A017171 Composition of A008455(n) and A008591(n). - _Wesley Ivan Hurt_, Jul 17 2025
%H A017171 Vincenzo Librandi, <a href="/A017171/b017171.txt">Table of n, a(n) for n = 0..10000</a>
%H A017171 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).
%F A017171 a(n) = 31381059609*A008455(n). - _R. J. Mathar_, Jul 07 2017
%F A017171 From _Wesley Ivan Hurt_, Jul 17 2025: (Start)
%F A017171 a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12).
%F A017171 G.f.: 31381059609*x*(1 + 2036*x + 152637*x^2 + 2203488*x^3 + 9738114*x^4 + 15724248*x^5 + 9738114*x^6 + 2203488*x^7 + 152637*x^8 + 2036*x^9 + x^10)/(-1 + x)^12.
%F A017171 a(n) = A008455(A008591(n)). (End)
%t A017171 (9*Range[0,20])^11 (* _Harvey P. Dale_, Apr 06 2019 *)
%t A017171 CoefficientList[Series[31381059609*x*(1 + 2036*x + 152637*x^2 + 2203488*x^3 + 9738114*x^4 + 15724248*x^5 + 9738114*x^6 + 2203488*x^7 + 152637*x^8 + 2036*x^9 + x^10)/(-1 + x)^12, {x, 0, 15}], x] (* _Wesley Ivan Hurt_, Jul 17 2025 *)
%o A017171 (Magma) [(9*n)^11: n in [0..15]]; // _Vincenzo Librandi_, Jul 22 2011
%Y A017171 Cf. A008455, A008591.
%K A017171 nonn,easy
%O A017171 0,2
%A A017171 _N. J. A. Sloane_