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 A121017 #22 Oct 12 2024 07:51:04 %S A121017 1,1,6,65,1125,28132,950649,41475961,2259756900,149874308367, %T A121017 11858161118925,1101069785060610,118366544943589215, %U A121017 14564702419742606497,2031425158227034739646,318472106732688712103885,55708816671530680003669185,10803156636116962310987233404 %N A121017 Stirling transform of A104600. %H A121017 Alois P. Heinz, <a href="/A121017/b121017.txt">Table of n, a(n) for n = 0..273</a> %F A121017 a(n) = (1/(2e)) * Sum_{r,s >= 0} (r*s)^n / (2^r*s!). %F A121017 a(n) = A000670(n)*A000110(n). - _Vladeta Jovovic_, Sep 27 2006 %p A121017 a:= n-> combinat[bell](n)*add(Stirling2(n, k)*k!, k=0..n): seq(a(n), n=0..19); # _Zerinvary Lajos_, Sep 30 2006 %t A121017 Table[BellB[n]*Sum[StirlingS2[n, k]*k!, {k, 0, n}], {n, 0, 17}] (* _James C. McMahon_, Oct 11 2024 *) %Y A121017 Cf. A000110, A000670, A104600. %Y A121017 Row sums of A323099. %K A121017 easy,nonn %O A121017 0,3 %A A121017 _Vladeta Jovovic_, Sep 08 2006 %E A121017 More terms from _Zerinvary Lajos_, Sep 30 2006