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Search: id:A099253
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| A099253 |
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(7n+6)-th terms of expansion of 1/(1-x-x^7). |
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+0
2
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| 1, 8, 43, 211, 1030, 5055, 24851, 122166, 600470, 2951330, 14505951, 71297834, 350434385, 1722411860, 8465785506, 41609980404, 204516223418, 1005212819668, 4940697593195, 24283905085013, 119357243593561, 586649945651116
(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.
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FORMULA
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G.f.: 1/((1-x)^7-x); a(n)=8a(n-1)-21a(n-2)+35a(n-3)-35a(n-4)+21a(n-5)-7a(n-6)+a(n-7); a(n)=sum{k=0..n, binomial(7n-6(k-1), k)}; a(n)=sum{k=0..n, binomial(n+6(k+1), k+6(k+1)}; a(n)=sum{k=0..n, binomial(n+6(k+1), n-k)}.
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CROSSREFS
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Sequence in context: A005024 A094865 A122880 this_sequence A034361 A117617 A111365
Adjacent sequences: A099250 A099251 A099252 this_sequence A099254 A099255 A099256
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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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