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.

A123332 a(n) = 2^n*(Gamma(n+1/2)/Gamma(1/2) + (n-1)!).

This page as a plain text file.
%I A123332 #13 Oct 05 2017 03:57:19
%S A123332 3,7,31,201,1713,18075,227295,3317265,55103265,1026318195,21181092975,
%T A123332 479733356025,11829834687825,315481555464075,9046941599670975,
%U A123332 277598531343758625,9075051786962786625,314884420627497595875,11557482238066613223375,447385119579169194047625
%N A123332 a(n) = 2^n*(Gamma(n+1/2)/Gamma(1/2) + (n-1)!).
%C A123332 The EXP-transform of a(n) is equal to A121629(n).
%H A123332 G. C. Greubel, <a href="/A123332/b123332.txt">Table of n, a(n) for n = 1..400</a>
%F A123332 E.g.f.: (1-2*x)^(-1/2) - 1 - log(1-2*x).
%t A123332 Table[2^n*(Gamma[n + 1/2]/Gamma[1/2] + (n - 1)!), {n, 0, 50}] (* _G. C. Greubel_, Oct 04 2017 *)
%o A123332 (PARI) a(n) = round(2^n*(gamma(n+1/2)/gamma(1/2) + (n-1)!)); \\ _Michel Marcus_, Oct 05 2017
%Y A123332 Cf. A121629.
%K A123332 nonn
%O A123332 1,1
%A A123332 _Karol A. Penson_, Sep 26 2006