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 A012572 #8 Oct 31 2013 04:40:45 %S A012572 1,0,2,-3,16,-80,488,-3339,26472,-241128,2416002,-26168835,310984452, %T A012572 -4057771068,56774212350,-841821751575,13356966503088, %U A012572 -227284196307984,4085254725230514,-76911822855270819 %N A012572 exp(arcsinh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+16/4!*x^4-80/5!*x^5... %F A012572 E.g.f.: (x+sqrt(1+x^2))^(log(x+1)). - _Vaclav Kotesovec_, Oct 31 2013 %F A012572 a(n) ~ n! * (-1)^n * n^(log(1+sqrt(2))-1) / GAMMA(log(1+sqrt(2))). - _Vaclav Kotesovec_, Oct 31 2013 %t A012572 CoefficientList[Series[Exp[ArcSinh[x]*Log[x+1]], {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Oct 31 2013 *) %K A012572 sign %O A012572 0,3 %A A012572 Patrick Demichel (patrick.demichel(AT)hp.com)