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.

A014514 a(n) = floor( Gamma(n+3/4) ).

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%I A014514 #17 Aug 01 2025 11:09:02
%S A014514 1,0,1,4,16,78,453,3057,23698,207358,2021746,21733773,255371835,
%T A014514 3255990905,44769874946,660355655453,10400601573396,174210076354396,
%U A014514 3092228855290534,57979291036697518,1145090997974775999,23760638207976601980,516793881023491093069
%N A014514 a(n) = floor( Gamma(n+3/4) ).
%D A014514 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.
%H A014514 Amiram Eldar, <a href="/A014514/b014514.txt">Table of n, a(n) for n = 0..450</a>
%H A014514 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
%H A014514 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.
%p A014514 seq(floor(evalf(GAMMA(n+3/4),100)), n=0..24);
%t A014514 a[n_] := Floor[Gamma[n + 3/4]]; Array[a, 21, 0] (* _Amiram Eldar_, Sep 20 2019 *)
%o A014514 (Magma) [Floor(Gamma(n + 3/4)): n in [0..25]]; // _Vincenzo Librandi_, Aug 01 2025
%Y A014514 Cf. A014510, A014511, A014512, A014513, A014516, A014517, A014518, A014521, A014522.
%K A014514 nonn
%O A014514 0,4
%A A014514 _Simon Plouffe_