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A294120
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E.g.f.: exp(3*((1+x)^3 - 1)).
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2
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1, 9, 99, 1233, 16929, 251829, 4012011, 67876461, 1211592897, 22700600001, 444567396051, 9068604811209, 192115381719969, 4216003141209453, 95631348748295259, 2237799925576748709, 53928909429116324481, 1336410276724468307961
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ 3^(2*n/3 - 1/2) * n^(2*n/3) * exp(-2 + 3^(1/3)*n^(1/3) + 3^(2/3)*n^(2/3) - 2*n/3). - Vaclav Kotesovec, Oct 23 2017
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MATHEMATICA
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nmax = 20; CoefficientList[Series[E^(3*((1+x)^3 - 1)), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2017 *)
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(3*((1+x)^3-1))))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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