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Search: id:A107026
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| A107026 |
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Row sums of inverse of Riordan array (1/(1+x),x/(1+x)^4). |
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1
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| 1, 2, 10, 62, 426, 3112, 23686, 185684, 1488554, 12144248, 100489320, 841268078, 7112138790, 60629940152, 520591221412, 4498091003272, 39079909924522, 341193986978008, 2991881019936760, 26338436818801496, 232688056611178216
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The Riordan array (1/(1+x),x/(1+x)^4) has general term (-1)^(n-k)*binomial(n+3k,4k).
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FORMULA
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G.f.: A(x)=y satisfies (2y)^4*x-(y+1)^3*(y-1)=0; a(n)=3*binomial(4n, n)-2*sum{k=0..n, binomial(4n, k)}.
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CROSSREFS
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Cf. A047098.
Adjacent sequences: A107023 A107024 A107025 this_sequence A107027 A107028 A107029
Sequence in context: A073329 A052600 A092165 this_sequence A107841 A141140 A129130
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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), May 09 2005
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