Search: id:A000795
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%I A000795 M2044 N0810
%S A000795 1,2,12,152,3472,126752,6781632,500231552,48656756992,6034272215552,
%T A000795 929327412759552,174008703107274752,38928735228629389312,10255194381004799025152,
%U A000795 3142142941901073853366272,1107912434323301224813002752,445427836895850552387642130432
%N A000795 Salie numbers: expansion of cosh x / cos x = Sum_{n >= 0} a(n)*x^(2n)/
               (2n)!.
%D A000795 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000795 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000795 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 86, Problem 32.
%D A000795 M. S. Krick, On the coefficients of cosh x / cos x, Math. Mag., 34 (1960), 
               37-40.
%H A000795 T. D. Noe, <a href="b000795.txt">Table of n, a(n) for n=0..100</a>
%F A000795 a(n) = Sum(k=0..n, C(2n, 2k)*A000364(n-k) ). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), 
               Dec 16 2003
%F A000795 a(n) = Sum_{k>=0} (-1)^(n+k)*2^(2n-k)*A065547(n, k). - DELEHAM Philippe 
               (kolotoko(AT)wanadoo.fr), Feb 26 2004
%F A000795 a(n) = sum_{k>=0} A086646(n, k). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), 
               Feb 26 2004
%e A000795 cosh x / cos x = Sum_{n=0..inf} a(n)*x^(2n)/(2n)! = 1+x^2+1/2*x^4+19/
               90*x^6+31/360*x^8+3961/113400*x^10+...
%Y A000795 A005647(n) = a(n)/2^n.
%Y A000795 Cf. A000364 A086646.
%Y A000795 Sequence in context: A105558 A126777 A126345 this_sequence A085628 A053549 
               A139383
%Y A000795 Adjacent sequences: A000792 A000793 A000794 this_sequence A000796 A000797 
               A000798
%K A000795 nonn,easy,nice
%O A000795 0,2
%A A000795 N. J. A. Sloane (njas(AT)research.att.com).

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