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Search: id:A004983
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| A004983 |
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(2^n/n!)*product[ k=0..n-1 ](4*k - 3). |
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+0
1
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| 1, -6, -6, -20, -90, -468, -2652, -15912, -99450, -640900, -4229940, -28455960, -194449060, -1346185800, -9423300600, -66591324240, -474463185210, -3404971093860, -24591457900100, -178611641590200, -1303864983608460, -9561676546462040, -70408709114856840
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: A(x) = (1 - 8*x)^(3/4).
a(n) ~ -3/4*Gamma(1/4)^-1*n^(-7/4)*2^(3*n)*{1 + 21/32*n^-1 + ...}
a(n) = (-8)^n/(n*Beta(n, 7/4-n)) if n>0; a(0)=1 - C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 16 2004
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MAPLE
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seq(coeff(convert(series((1-8*x)^(3/4), x, 40), polynom), x, i), i=0..25); 1, seq(2^(3*n)*(-1)^n/(n*Beta(n, 7/4-n)), n=1..10); (C. Ronaldo)
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CROSSREFS
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Adjacent sequences: A004980 A004981 A004982 this_sequence A004984 A004985 A004986
Sequence in context: A073096 A045896 A115046 this_sequence A034695 A053168 A141388
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KEYWORD
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sign,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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