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Search: id:A004991
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| A004991 |
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(3^n/n!)*product[ k=0..n-1 ](3*k + 4). |
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+0
1
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| 1, 12, 126, 1260, 12285, 117936, 1120392, 10563696, 99034650, 924323400, 8596207620, 79710288840, 737320171770, 6806032354800, 62712726697800, 576957085619760
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OFFSET
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0,2
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FORMULA
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A(x) = (1 - 9*x)^(-4/3).
a(n) ~ 3*Gamma(1/3)^-1*n^(1/3)*3^(2*n)*{1 + 2/9*n^-1 - ...}
a(n)=(3^(2*n))/(integral_{x=0 to 1} (1-x^3)^n dx). E.g. a(3)=1260. - Al Hakanson (hawkuu(AT)excite.com), Dec 04 2003
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CROSSREFS
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Sequence in context: A070312 A061114 A015792 this_sequence A101602 A062199 A124797
Adjacent sequences: A004988 A004989 A004990 this_sequence A004992 A004993 A004994
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KEYWORD
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nonn
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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