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Search: id:A053739
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| 1, 6, 22, 63, 155, 344, 709, 1383, 2587, 4685, 8273, 14323, 24416, 41119, 68595, 113590, 187030, 306605, 500950, 816410, 1327986, 2157046, 3499982, 5674578, 9195035, 14893364, 24115804, 39040633
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OFFSET
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0,2
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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FORMULA
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a(n)=sum{C(n+5-i, n-2i); i=0 to [n/2]}; n >= 0; [x]=greatest integer in x.
a(n)=Sum_{k=1..n}{C(n-k+5,k+4)}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Apr 16 2008
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EXAMPLE
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a(n)=a(n-1)+a(n-2)+C(n+4,4); n >= 0; a(-1)=0.
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CROSSREFS
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Cf. A014166 and A000045.
Right-hand column 10 of triangle A011794.
Sequence in context: A081282 A001769 A120477 this_sequence A055797 A001925 A002663
Adjacent sequences: A053736 A053737 A053738 this_sequence A053740 A053741 A053742
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Feb 13 2000
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