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.

A016989 a(n) = (7*n)^9.

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%I A016989 #15 May 26 2024 00:39:43
%S A016989 0,40353607,20661046784,794280046581,10578455953408,78815638671875,
%T A016989 406671383849472,1628413597910449,5416169448144896,15633814156853823,
%U A016989 40353607000000000,95151694449171437,208215748530929664
%N A016989 a(n) = (7*n)^9.
%H A016989 Vincenzo Librandi, <a href="/A016989/b016989.txt">Table of n, a(n) for n = 0..1000</a>
%H A016989 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
%F A016989 From _Wesley Ivan Hurt_, May 26 2024: (Start)
%F A016989 a(n) = 40353607 * A001017(n).
%F A016989 a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10).
%F A016989 G.f.: 40353607*x*(1 + 502*x + 14608*x^2 + 88234*x^3 + 156190*x^4 + 88234*x^5 + 14608*x^6 + 502*x^7 + x^8)/(x - 1)^10. (End)
%t A016989 (7 Range[0, 20])^9 (* _Wesley Ivan Hurt_, May 26 2024 *)
%o A016989 (Magma) [(7*n)^9: n in [0..20]]; // _Vincenzo Librandi_, Jun 18 2011
%Y A016989 Cf. A001017.
%K A016989 nonn,easy
%O A016989 0,2
%A A016989 _N. J. A. Sloane_