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Search: id:A004986
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| A004986 |
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(2^n/n!)*product[ k=0..n-1 ](4*k + 7). |
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+0
2
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| 1, 14, 154, 1540, 14630, 134596, 1211364, 10729224, 93880710, 813632820, 6997242252, 59794615608, 508254232668, 4300612737960, 36248021648520, 304483381847568, 2550048322973382, 21300403638954132, 177503363657951100
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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A(x) = (1 - 8*x)^(-7/4).
a(n) ~ 4/3*Gamma(3/4)^-1*n^(3/4)*2^(3*n)*{1 + 21/32*n^-1 - ...}
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MAPLE
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seq(2^n/n!*product(4*k + 7, k=0..n-1), n=0..30);
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CROSSREFS
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Adjacent sequences: A004983 A004984 A004985 this_sequence A004987 A004988 A004989
Sequence in context: A016215 A097227 A125426 this_sequence A006865 A001707 A078999
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KEYWORD
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nonn,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 24 2002
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