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.

A154226 List of pairs: {(n*(n+1)/2)^2, (n!)^3}.

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%I A154226 #21 Sep 08 2022 08:45:40
%S A154226 0,1,1,1,9,8,36,216,100,13824,225,1728000,441,373248000,784,
%T A154226 128024064000,1296,65548320768000,2025,47784725839872000,3025,
%U A154226 47784725839872000000,4356,63601470092869632000000,6084
%N A154226 List of pairs: {(n*(n+1)/2)^2, (n!)^3}.
%H A154226 G. C. Greubel, <a href="/A154226/b154226.txt">Table of n, a(n) for n = 0..500</a>
%F A154226 a(2n+1) = A000442(n) = (n!)^3.
%F A154226 a(2n)   = A000537(n) = (n*(n+1)/2)^2.
%t A154226 a[0] = 0; a[n_] := a[n] = n^3 + a[n - 1];
%t A154226 b[0] = 1; b[n_] := b[n] = n^3*b[n - 1];
%t A154226 Flatten[Table[{a[n], b[n]}, {n, 0, 15}]]
%o A154226 (Magma) &cat[[(n*(n+1)/2)^2, Factorial(n)^3]: n in [0..15]]; // _Vincenzo Librandi_, Sep 07 2016
%Y A154226 Cf. A000442, A000537.
%K A154226 nonn,easy,less
%O A154226 0,5
%A A154226 _Roger L. Bagula_, Jan 05 2009