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A098460
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E.g.f.: 1/sqrt(1-2x-2x^2).
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1
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1, 1, 5, 33, 321, 3945, 59445, 1056825, 21677985, 503799345, 13084021125, 375524312625, 11803392302625, 403235809601625, 14876913457531125, 589498927632239625, 24969077812488434625, 1125803018759825030625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=(n!/2^n)*A084609(n); a(n)=(n!/2^n)sum{k=0..floor(n/2), Binomial(n, k)Binomial(2(n-k), n)2^k}; a(n)=n!sum{k=0..floor(n/2), Binomial(n, k)Binomial(2(n-k), n)2^(k-n)}.
a(n) = A084609(n) * n! / 2^n [From Mark van Hoeij (hoeij(AT)math.fsu.edu), Jul 02 2010]
Conjecture: a(n) +(1-2*n)*a(n-1) -2*(n-1)^2*a(n-2)=0. - R. J. Mathar, Nov 15 2011
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CROSSREFS
| Cf. A012244.
Sequence in context: A001828 A084845 A198079 * A087618 A134152 A140424
Adjacent sequences: A098457 A098458 A098459 * A098461 A098462 A098463
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 08 2004
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