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Search: id:A053482
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| 1, 4, 21, 142, 1201, 12336, 149989, 2113546, 33926337, 611660476, 12243073621, 269456124774, 6468249055921, 168191402251432, 4709596238204901, 141291441773619106, 4521383010795364609, 153727989225714801396, 5534225015581836134677
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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E.g.f.: exp(x)*(2/(1-2x)-1/(1-x))=exp(x)/(1-3x+2x^2); a(n)=sum{k=0..n, C(n,k)*k!*(2^(k+1)-1)}; a(n)=n!*sum{k=0..n, (2^(n-k+1)-1)/k!}; a(n)=int(x^n*(exp((1-x)/2)-exp(1-x)),x,1,infty); a(n)=2*A010844(n)-A000522(n); - Paul Barry (pbarry(AT)wit.ie), Jan 28 2008
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CROSSREFS
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Sequence in context: A121124 A087761 A120368 this_sequence A158577 A006879 A163861
Adjacent sequences: A053479 A053480 A053481 this_sequence A053483 A053484 A053485
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000
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