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Search: id:A106391
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| A106391 |
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A "cosh transform" of binomial(2n,n-1). |
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+0
1
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| 0, 1, 4, 18, 80, 365, 1692, 7945, 37648, 179595, 861020, 4143832, 20004096, 96810779, 469508340, 2281123530, 11100465216, 54093131147, 263929559436, 1289217255934, 6303934406640, 30853639964847, 151139139048084
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Mean of binomial and inverse binomial transform of A001791.
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FORMULA
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E.g.f.: cosh(x)exp(2x)I_1(2x), where I_1 is Bessel function; a(n)=sum{k=0..floor(n/2), binomial(n, 2k)binomial(2(n-2k), n-2k+1)}.
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CROSSREFS
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Adjacent sequences: A106388 A106389 A106390 this_sequence A106392 A106393 A106394
Sequence in context: A045902 A090017 A104631 this_sequence A063881 A100192 A052913
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 01 2005
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