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 A123334 #12 Oct 12 2017 10:52:11 %S A123334 5,21,173,2121,34521,700365,17017605,481714065,15566262705, %T A123334 565382074005,22800157775325,1010786809534425,48858860891558025, %U A123334 2557374374022392925,144098786151306911925,8696418977823430478625 %N A123334 a(n) = 4^n*(Gamma(n+1/4)/Gamma(1/4) + (n-1)!). %C A123334 The EXP-transform of a(n) is equal to A121631(n). %H A123334 G. C. Greubel, <a href="/A123334/b123334.txt">Table of n, a(n) for n = 1..365</a> %F A123334 E.g.f.: (1-4*x)^(-1/4) - 1 - log(1-4*x). %F A123334 a(n) = A007696(n) + A000302(n)*A000142(n-1). - _R. J. Mathar_, Jun 18 2009, Jul 07 2009 %t A123334 With[{nmax = 50}, CoefficientList[Series[(1 - 4*x)^(-1/4) - 1 - Log[1 - 4*x], {x, 0, nmax}], x] Range[0, nmax]!] (* _G. C. Greubel_, Oct 12 2017 *) %o A123334 (PARI) x='x+O('x^30); Vec(serlaplace((1-4*x)^(-1/4) - 1 - log(1-4*x))) \\ _G. C. Greubel_, Oct 12 2017 %Y A123334 Cf. A121631. %K A123334 nonn %O A123334 1,1 %A A123334 _Karol A. Penson_, Sep 26 2006