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A115970
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Expansion of 1/(4*sqrt(1-4x)-3).
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5
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1, 8, 72, 656, 5992, 54768, 500688, 4577568, 41851560, 382641200, 3498428272, 31985610720, 292439802256, 2673735097184, 24445577182368, 223502416896576, 2043450657688872, 18682977401318064, 170815793235313968
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The g.f. is A(x)^2/(2*A(x)-A(x)^2) where A(x) is the g.f. of A076035.
The Hankel transform of this sequence is 8^n = [1, 8, 64, 512, 4096, ...] ; The Hankel transform of the aerated sequence with g.f. 1/(1-8*x^2*c(x^2)) is also 8^n . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 13 2007
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FORMULA
| G.f.: 1/(1-8*x*c(x)), where c(x) is the g.f. of A000108; a(n) = Sum_{k, 0<=k<=n} A106566(n, k)*8^k.
a(n)=(64*a(n-1)-8*A000108(n-1))/7 . a(n) = Sum_[k, 0<=k<=n} A039599(n,k)*7^k . a(n) = Sum_{k, 0<=k<=n} A106566(n,k)*8^k . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 13 2007
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CROSSREFS
| Sequence in context: A055275 A155198 A147840 * A078995 A082414 A145303
Adjacent sequences: A115967 A115968 A115969 * A115971 A115972 A115973
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 03 2006
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