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Search: id:A099242
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| A099242 |
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(6n+5)-th terms of expansion of 1/(1-x-x^6). |
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+0
3
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| 1, 7, 34, 153, 686, 3088, 13917, 62721, 282646, 1273690, 5739647, 25864698, 116554700, 525233175, 2366870474, 10665883415, 48063918336, 216591552484, 976031547888, 4398313653120, 19820223058176, 89316331907533
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A row of A099239.
Equals INVERT transform of A000389, C(n,5). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 02 2009]
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FORMULA
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G.f.: 1/((1-x)^6-x); a(n)=7a(n-1)-15a(n-2)+20a(n-3)-15a(n-4)+6a(n-5)-a(n-6); a(n)=sum{k=0..n, binomial(6n-5(k-1), k)}; a(n)=sum{k=0..n, binomial(n+5(k+1), k+5(k+1)}; a(n)=sum{k=0..n, binomial(n+5(k+1), n-k)}.
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CROSSREFS
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A000389 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 02 2009]
Sequence in context: A094891 A052161 A080960 this_sequence A032206 A124466 A055271
Adjacent sequences: A099239 A099240 A099241 this_sequence A099243 A099244 A099245
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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 08 2004
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