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Search: id:A109589
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| A109589 |
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E.g.f.: 2x[1-ln(1+2x)]/[2-ln(1+2x)]. |
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+0
1
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| 0, 1, -2, 0, -8, 40, -384, 4144, -54144, 815616, -13958400, 267218688, -5657444352, 131222866944, -3308765300736, 90105807790080, -2635416865112064, 82388152861360128, -2741414412289572864, 96732603325960224768, -3607731031922910167040
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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C. Q. He and M. L. Lapidus, Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann zeta-function, Mem. Amer. Math. Soc. 127 (1997), no. 608, x+97 pp.
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MAPLE
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G:=2*x*(1-ln(1+2*x))/(2-ln(1+2*x)): Gser:=series(G, x=0, 23): 0, seq(n!*coeff(Gser, x^n), n=1..20); # yields the signed sequence
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MATHEMATICA
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g[x_] = x/(-1 + 1/(-1 + Log[1 + x])) h[x_, n_] = Dt[g[x], {x, n}]; a[x_] = Table[h[x, n]*2^n, {n, 0, 25}]; b = a[0] Abs[b]
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CROSSREFS
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Sequence in context: A134185 A013489 A013342 this_sequence A101682 A033836 A009099
Adjacent sequences: A109586 A109587 A109588 this_sequence A109590 A109591 A109592
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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 29 2005
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