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Search: id:A099578
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| A099578 |
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Binomial(floor((3n+2)/2)),floor(n/2)). |
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+0
4
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| 1, 1, 4, 5, 21, 28, 120, 165, 715, 1001, 4368, 6188, 27132, 38760, 170544, 245157, 1081575, 1562275, 6906900, 10015005, 44352165, 64512240, 286097760, 417225900, 1852482996, 2707475148, 12033222880, 17620076360, 78378960360, 114955808528
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Main diagonal of triangle A099575.
With offset 2, this is the number of compositions of n-1 into floor(n/2) parts. - T. D. Noe, Jan 05 2007
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..200
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FORMULA
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a(n)=sum{k=0..floor(n/2), binomial(n+k, k)}.
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CROSSREFS
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Cf. A030077, A025174 (bisection), A045721 (bisection), A127040
Adjacent sequences: A099575 A099576 A099577 this_sequence A099579 A099580 A099581
Sequence in context: A081713 A120697 A135964 this_sequence A109452 A091130 A129346
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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), Oct 23 2004
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