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A056953
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Denominators of continued fraction for alternating factorial.
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3
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1, 1, 2, 3, 7, 13, 34, 73, 209, 501, 1546, 4051, 13327, 37633, 130922, 394353, 1441729, 4596553, 17572114, 58941091, 234662231, 824073141, 3405357682, 12470162233, 53334454417, 202976401213, 896324308634, 3535017524403
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Starting (1, 2, 3,...) with offset 0 = eigensequence of an infinite lower triangular matrix with 1's in the main diagonal and the natural numbers repeated in the subdiagonal. - Gary Adamson, Feb 14 2011
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LINKS
| Index entries for sequences related to Laguerre polynomials
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FORMULA
| a[0]=1; a[1]=1; a[n]=a[n-1]+[n/2]*a[n-2]
a(n) = Sum_{k=0..[n/2]} k!*C([n/2],k)*C([(n+1)/2],k). - Paul D. Hanna (pauldhanna(AT)juno.com), Oct 31 2006
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PROG
| (PARI) a(n)=sum(k=0, n\2, k!*binomial(n\2, k)*binomial((n+1)\2, k)) - Paul D. Hanna (pauldhanna(AT)juno.com), Oct 31 2006
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CROSSREFS
| Bisections are A000262 and A002720.
Cf. A124428.
Sequence in context: A032131 A007827 A129859 * A045611 A006840 A123408
Adjacent sequences: A056950 A056951 A056952 * A056954 A056955 A056956
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KEYWORD
| nonn
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AUTHOR
| Aleksandar Petojevic (apetoje(AT)ptt.yu), Sep 05 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 07 2000
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