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A004998
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6^n/n!*product(k=0..n-1, 6*k + 11 ).
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0
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1, 66, 3366, 154836, 6735366, 282885372, 11598300252, 467245810152, 18573020953542, 730538824172652, 28491014142733428, 1103379274982221848, 42480102086815541148, 1627314679941087653208
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| A(x) = (1 - 36*x)^(-11/6).
a(n) ~ 6/5*Gamma(5/6)^-1*n^(5/6)*6^(2*n)*{1 + 55/72*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
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MATHEMATICA
| CoefficientList[Series[(1-36x)^(-11/6), {x, 0, 20}], x] (* or *) Table[(36^(n-1) Pochhammer[11/6, n-1])/Gamma[n], {n, 20}] (* From Harvey P. Dale, Jul 24 2011 *)
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CROSSREFS
| Sequence in context: A062152 A138875 A138877 * A097316 A099639 A003555
Adjacent sequences: A004995 A004996 A004997 * A004999 A005000 A005001
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KEYWORD
| nonn
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AUTHOR
| Joe Keane (jgk(AT)jgk.org)
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