Search: id:A001825
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%I A001825 M5250 N2284
%S A001825 1,35,1974,172810,21967231,3841278805,886165820604,261042753755556,
%T A001825 95668443268795341,42707926241367380631,22821422608929422854674,
%U A001825 14384681946935352617964750,10562341153570752891930640875
%N A001825 Central factorial numbers.
%D A001825 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001825 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001825 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.
%H A001825 T. D. Noe, <a href="b001825.txt">Table of n, a(n) for n=0..50</a>
%F A001825 E.g.f.: (arcsin x)^5; that is, a_k is the coefficient of x^(2*k+5) in 
               (arcsin x)^5 multiplied by (2*k+5)! and divided by 5! - Joe Keane 
               (jgk(AT)jgk.org)
%F A001825 (-1)^(n-2)*a(n-2) is the coefficient of x^4 in prod(k=1, 2*n, x+2*k-2*n-1). 
               - Benoit Cloitre and Michael Somos, Nov 22, 2002.
%e A001825 (arcsin x)^5 = x^5 + 5/6*x^7 + 47/72*x^9 + 1571/3024*x^11 + ...
%Y A001825 Cf. A001824, A002455, A049033.
%Y A001825 Right-hand column 3 in triangle A008956.
%Y A001825 Sequence in context: A029560 A135923 A130005 this_sequence A094187 A115963 
               A025036
%Y A001825 Adjacent sequences: A001822 A001823 A001824 this_sequence A001826 A001827 
               A001828
%K A001825 nonn
%O A001825 0,2
%A A001825 N. J. A. Sloane (njas(AT)research.att.com).
%E A001825 More terms from Joe Keane (jgk(AT)jgk.org)

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