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%I M4158 N1728 #33 Oct 19 2023 12:51:46
%S 6,24,45,480,10080,24192,907200,1036800,239500800,106444800,
%T 9906624000,475517952000,15692092416000,4828336128000,
%U 8002967132160000,4268249137152000,51607012294656000,1202139815804928000
%N Denominators of coefficients for repeated integration.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Michael De Vlieger, <a href="/A002688/b002688.txt">Table of n, a(n) for n = 1..442</a>
%H Caroline Moosmüller and Tomas Sauer, <a href="https://arxiv.org/abs/1904.10835">Polynomial overreproduction by Hermite subdivision operators, and p-Cauchy numbers</a>, arXiv:1904.10835 [math.NA], 2019.
%H H. E. Salzer, <a href="http://dx.doi.org/10.1080/14786444708521604">Table of coefficients for repeated integration with differences</a>, Phil. Mag., 38 (1947), 331-336.
%H H. E. Salzer, <a href="/A002206/a002206_1.pdf">Table of coefficients for repeated integration with differences</a>, Phil. Mag., 38 (1947), 331-336. [Annotated scanned copy]
%F a(n) = denominator((1/n!) * Sum_{k=1..n} Stirling1(n,k)/((k+1)*(k+2))). - _Vladimir Kruchinin_, Apr 06 2016
%p seq(denom(int(int(mul(p-i,i=0..(n-1)),p=0..p),p=0..1)/n!),n=1..30); # Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 01 2010
%t Table[Denominator@ (Sum[StirlingS1[n, k]/((k + 1) (k + 2)), {k, n}]/n!), {n, 20}] (* _Michael De Vlieger_, Apr 06 2016 *)
%o (Maxima)
%o a(n):=denom(1/n!*(sum((stirling1(n,k))/((k+1)*(k+2)),k,1,n))); /* _Vladimir Kruchinin_, Apr 06 2016 */
%Y Cf. A002687.
%K nonn,frac
%O 1,1
%A _N. J. A. Sloane_
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 01 2010
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