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A066399
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From reversion of e.g.f. for squares.
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0
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0, 1, -4, 39, -616, 13505, -379296, 12995983, -525688192, 24519144609, -1295527513600, 76481653648631, -4989249262503936, 356408413864589281, -27670449142629400576, 2319870547729387929375, -208886312501433616531456, 20104397299878424990749377
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index entries for reversions of series
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FORMULA
| a(n+1) = (-1)^n*(n)! * sum(m=0..n, (n+1)^m/m! * binomial(2*n-m,n)). [From Vladimir Kruchinin, Feb 22 2011]
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MAPLE
| read transforms; add(n^2*x^n/n!, n=1..30); series(%, x, 31): seriestoseries(%, 'revogf'); SERIESTOLISTMULT(%);
with(powseries):powcreate(t(n)=n^2/n!):seq(n!*coeff(tpsform(reversion(t), x, 19), x, n), n=0..18); spec:=[A, {A=Prod(Z, Set(A), Set(B)), B=Cycle(A)}, labeled]; seq(combstruct[count](spec, size=n), n=0..18); - Vladeta Jovovic (vladeta(AT)eunet.rs), May 29 2007
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CROSSREFS
| Sequence in context: A024055 A189489 A178920 * A065760 A132612 A129463
Adjacent sequences: A066396 A066397 A066398 * A066400 A066401 A066402
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 25 2001
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