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 A070075 #7 Nov 13 2017 09:57:53 %S A070075 1,2,9,57,464,4593,53381,711056,10665071,177698377,3253933294, %T A070075 64917524367,1400923403957,32503510579738,806599849548101, %U A070075 21313355891736741,597326671763101944 %N A070075 Stirling transform of A021009. %H A070075 Vaclav Kotesovec, <a href="/A070075/b070075.txt">Table of n, a(n) for n = 0..410</a> %F A070075 In Maple notation, a(0)=1, a(n)= sum(stirling2(n, k)*k!*LaguerreL(k, -1), k=1..n), n=1, 2... . E.g.f.: exp((exp(x)-1)/(2-exp(x)))/(2-exp(x)) %F A070075 a(n) ~ exp(1/(4*log(2)) - 3/4 + sqrt(2*n/log(2)) - n) * n^(n + 1/4) / (2^(5/4) * (log(2))^(n + 3/4)). - _Vaclav Kotesovec_, Nov 13 2017 %t A070075 Flatten[{1, Table[Sum[StirlingS2[n, k]*k!*LaguerreL[k, -1], {k,1,n}], {n,1,20}]}] (* _Vaclav Kotesovec_, Nov 13 2017 *) %Y A070075 Cf. A021009. %K A070075 nonn %O A070075 0,2 %A A070075 _Karol A. Penson_, Apr 22 2002