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Search: id:A099132
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| A099132 |
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Quintisection of 1/(1-x^5-x^6). |
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+0
1
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| 1, 1, 1, 1, 1, 1, 2, 7, 22, 57, 127, 253, 464, 804, 1354, 2289, 4005, 7372, 14198, 28033, 55523, 108699, 208982, 394555, 734561, 1357136, 2504932, 4643816, 8671852, 16313856, 30855957, 58502733, 110882143, 209689343, 395358538, 743376838
(list; graph; listen)
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OFFSET
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0,7
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FORMULA
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G.f.: (1-x)^4/((1-x)^5-x^6); a(n)=sum{k=0..n, binomial(k, 5(n-k))}; a(n)=5a(n-1)-10a(n-2)+10a(n-3)-5a(n-4)+a(n-5)+a(n-6); a(n)=A017837(5n).
a(n)=sum{k=0..floor(n/5), binomial(n-k, 5k)}. - Paul Barry (pbarry(AT)wit.ie), May 09 2005
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CROSSREFS
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Cf. A005676.
Sequence in context: A137107 A131856 A007344 this_sequence A139398 A099131 A063019
Adjacent sequences: A099129 A099130 A099131 this_sequence A099133 A099134 A099135
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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), Sep 29 2004
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