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Search: id:A115902
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| A115902 |
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Expansion of (1-8x)^(-3/2). |
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+0
1
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| 1, 12, 120, 1120, 10080, 88704, 768768, 6589440, 56010240, 472975360, 3972993024, 33228668928, 276905574400, 2300446310400, 19060840857600, 157569617756160, 1299949346488320, 10705465206374400, 88022713919078400
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: 1/((1-8x)sqrt(1-8x)); a(n)=Jacobi_P(n,1/2,1/2,1)*8^n; a(n)=2^n*(2n+1)*binomial(2n,n); a(n)=(2n+1)*A059304(n); a(n)=2^n*A002457(n).
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MAPLE
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a:=n->sum((binomial(2*n, n))*2^(n-2), j=1..n): seq(a(n), n=1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 03 2007
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CROSSREFS
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Sequence in context: A009140 A012273 A008465 this_sequence A004332 A129329 A129332
Adjacent sequences: A115899 A115900 A115901 this_sequence A115903 A115904 A115905
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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), Feb 02 2006
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