id:A119976 - OEIS Search Results

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A119976

E.g.f. exp(2x)*(Bessel_I(0,2*sqrt(2)x)+Bessel_I(1,2*sqrt(2)x)/sqrt(2)).

+0
4

1, 3, 12, 50, 216, 952, 4256, 19224, 87520, 400928, 1845888, 8533824, 39590656, 184216320, 859354112, 4017738112, 18820855296, 88317817344, 415075665920, 1953473141760, 9205135036416, 43425512132608, 205072796270592 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A119975. Binomial transform is A047781(n+1).`
	FORMULA	`G.f.: (1+2x)/(4xsqrt(1-4x-4x^2))-1/(4x); a(n)=sum{k=0..n, 2^(n-k)C(n,k)*C(k,floor(k/2))2^floor(k/2)};`
	CROSSREFS	`Sequence in context: A092443 A108080 A113441 this_sequence A074547 A151178 A151179` `Adjacent sequences: A119973 A119974 A119975 this_sequence A119977 A119978 A119979`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 02 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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