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Search: id:A109575
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| A109575 |
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E.g.f.: x/(1+12x-8x^3) = x/[1-Hermite(3,x)]. |
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+0
1
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| 0, 1, -24, 864, -41280, 2465280, -176670720, 14770990080, -1411388375040, 151717608161280, -18121032076492800, 2380798038166732800, -341232779553826406400, 52983548082050826240000, -8859638774461689652838400, 1587282455497648568795136000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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"Bernoulli numbers" for x/[1-Hermite(3,x)].
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MAPLE
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G:=x/(1+12*x-8*x^3): Gser:=series(G, x=0, 20): 0, seq(n!*coeff(Gser, x^n), n=1..16); # yields the signed sequence
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MATHEMATICA
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g[x_] = x/(-1 + HermiteH[3, x]) h[x_, n_] = Dt[g[x], {x, n}] a[x_] = Table[h[x, n], {n, 0, 50}]; b = a[0]
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CROSSREFS
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Sequence in context: A078522 A005149 A027411 this_sequence A160111 A107391 A006147
Adjacent sequences: A109572 A109573 A109574 this_sequence A109576 A109577 A109578
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KEYWORD
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sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 28 2005
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