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 A017087 #18 Jul 17 2025 19:38:47
%S A017087 1,31381059609,34271896307633,2384185791015625,50542106513726817,
%T A017087 550329031716248441,3909821048582988049,20635899893042801193,
%U A017087 87507831740087890625,313726685568359708377,984770902183611232881
%N A017087 a(n) = (8*n + 1)^11.
%C A017087 Composition of A008455(n) and A017077(n). - _Wesley Ivan Hurt_, Jul 17 2025
%H A017087 Vincenzo Librandi, <a href="/A017087/b017087.txt">Table of n, a(n) for n = 0..10000</a>
%H A017087 <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 A017087 From _Wesley Ivan Hurt_, Jul 17 2025: (Start)
%F A017087 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 A017087 G.f.: (1 + 31381059597*x + 33895323592391*x^2 + 1974994185258003*x^3 +24186918344729610*x^4 + 93655732195384290*x^5 + 134070558743608110*x^6 + 73557591075608934*x^7 + 14545208676272997*x^8 + 849143191166465*x^9 + 8626027938459*x^10 + 1977326743*x^11)/(-1 + x)^12.
%F A017087 a(n) = A008455(A017077(n)). (End)
%t A017087 (8*Range[0,10]+1)^11 (* or *) LinearRecurrence[{12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{1,31381059609,34271896307633,2384185791015625,50542106513726817,550329031716248441,3909821048582988049,20635899893042801193,87507831740087890625,313726685568359708377,984770902183611232881,2775173073766990340489},20] (* _Harvey P. Dale_, Sep 08 2017 *)
%t A017087 CoefficientList[Series[(1 + 31381059597*x + 33895323592391*x^2 + 1974994185258003*x^3 + 24186918344729610*x^4 + 93655732195384290*x^5 + 134070558743608110*x^6 + 73557591075608934*x^7 + 14545208676272997*x^8 + 849143191166465*x^9 + 8626027938459*x^10 + 1977326743*x^11)/(-1 + x)^12, {x, 0, 15}], x] (* _Wesley Ivan Hurt_, Jul 17 2025 *)
%o A017087 (Magma) [(8*n+1)^11: n in [0..20]]; // _Vincenzo Librandi_, Jul 11 2011
%o A017087 (PARI) a(n)=(8*n+1)^11 \\ _Charles R Greathouse IV_, Aug 11 2014
%Y A017087 Cf. A008455, A017077.
%K A017087 nonn,easy
%O A017087 0,2
%A A017087 _N. J. A. Sloane_