Search: id:A002454
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%I A002454 M3693 N1510
%S A002454 1,4,64,2304,147456,14745600,2123366400,416179814400,106542032486400,
%T A002454 34519618525593600,13807847410237440000,6682998146554920960000,
%U A002454 3849406932415634472960000,2602199086312968903720960000
%N A002454 Central factorial numbers: 4^n (n!)^2.
%C A002454 Denominators in the series for Bessel's J0(x)= 1 -x^2/4 +x^4/64 -x^6/
               2304 +-...
%D A002454 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002454 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002454 Bronstein-Semendjajew, Taschenbuch der Mathematik, 7th german ed. 1965, 
               ch. 4.4.7
%D A002454 A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index 
               of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford 
               and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 110.
%D A002454 E. L. Ince, Ordinary Differential Equations, Dover, NY, 1956; see p. 
               173.
%D A002454 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.
%D A002454 T. R. Van Oppolzer, Lehrbuch zur Bahnbestimmung der Kometen und Planeten, 
               Vol. 2, Engelmann, Leipzig, 1880, p. 7.
%H A002454 T. D. Noe, <a href="b002454.txt">Table of n, a(n) for n=0..50</a>
%H A002454 <a href="Sindx_Fa.html#factorial">Index entries for sequences related 
               to factorial numbers</a>
%F A002454 (-1)^n*a(n) is the coefficient of x^1 in prod(k=0, 2*n, x+2*k-2*n). - 
               Benoit Cloitre and Michael Somos, Nov 22, 2002.
%Y A002454 Cf. A000165, A001818.
%Y A002454 J1: A002474, J2: A002506, J3: A014401.
%Y A002454 Sequence in context: A050636 A098698 A081559 this_sequence A013043 A167406 
               A156631
%Y A002454 Adjacent sequences: A002451 A002452 A002453 this_sequence A002455 A002456 
               A002457
%K A002454 nonn,easy
%O A002454 0,2
%A A002454 N. J. A. Sloane (njas(AT)research.att.com).

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