cp's OEIS Frontend

A224094 Denominators of poly-Cauchy numbers c_n^(2).

%I A224094 #39 Feb 26 2023 13:21:00
%S A224094 1,4,36,48,1800,720,35280,20160,226800,10080,731808,665280,1967565600,
%T A224094 11211200,129729600,34594560,18745927200,28641600,371536925760,
%U A224094 3990729600,3226504881600,4877558400,466663317120,550720684800,2192556726360000,175404538108800
%N A224094 Denominators of poly-Cauchy numbers c_n^(2).
%C A224094 The poly-Cauchy numbers c_n^k can be expressed in terms of the (unsigned) Stirling numbers of the first kind: c_n^(k) = (-1)^n*sum(abs(stirling1(n,m))*(-1)^m/(m+1)^k, m=0..n).
%H A224094 Vincenzo Librandi, <a href="/A224094/b224094.txt">Table of n, a(n) for n = 0..300</a>
%H A224094 Takao Komatsu, <a href="http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1806-06.pdf">Poly-Cauchy numbers</a>, RIMS Kokyuroku 1806 (2012)
%H A224094 Takao Komatsu, <a href="http://link.springer.com/article/10.1007/s11139-012-9452-0">Poly-Cauchy numbers with a q parameter</a>, Ramanujan J. 31 (2013), 353-371.
%H A224094 Takao Komatsu, <a href="http://doi.org/10.2206/kyushujm.67.143">Poly-Cauchy numbers</a>, Kyushu J. Math. 67 (2013), 143-153.
%H A224094 T. Komatsu, V. Laohakosol, K. Liptai, <a href="http://dx.doi.org/10.1155/2013/179841">A generalization of poly-Cauchy numbers and its properties</a>, Abstract and Applied Analysis, Volume 2013, Article ID 179841, 8 pages.
%H A224094 Takao Komatsu, FZ Zhao, <a href="http://arxiv.org/abs/1603.06725">The log-convexity of the poly-Cauchy numbers</a>, arXiv preprint arXiv:1603.06725, 2016
%t A224094 Table[Denominator[Sum[StirlingS1[n, k]/ (k + 1)^2, {k, 0, n}]], {n, 0, 25}]
%o A224094 (PARI) a(n) = denominator(sum(k=0, n,stirling(n, k, 1)/(k+1)^2)); \\ _Michel Marcus_, Nov 15 2015
%Y A224094 Cf. A006233, A222627, A224095 (numerators).
%K A224094 nonn,frac
%O A224094 0,2
%A A224094 _Takao Komatsu_, Mar 30 2013