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Search: id:A159322
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| A159322 |
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G.f.: A(x) = Sum_{n>=0} log(1+x + 2^n*x^2)^n/n!. |
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+0
1
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| 1, 1, 2, 2, 6, 12, 62, 280, 2380, 22400, 321776, 5837608, 146558244, 4938979584, 221994255984, 13767288844128, 1127789953750020, 129161855009676368, 19561367056434877784, 4170365129835922726384, 1181440903578343187882844
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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G.f.: A(x) = 1 + x + 2*x^2 + 2*x^3 + 6*x^4 + 12*x^5 + 62*x^6 +...
A(x) = 1 + log(1+x+2*x^2) + log(1+x+4*x^2)^2/2! + log(1+x+8*x^2)^3/3! +...
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PROGRAM
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(PARI) {a(n)=polcoeff(sum(k=0, n, log(1+x+2^k*x^2+x*O(x^n))^k/k!), n)}
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CROSSREFS
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Sequence in context: A027375 A059727 A103872 this_sequence A049313 A049954 A049952
Adjacent sequences: A159319 A159320 A159321 this_sequence A159323 A159324 A159325
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Apr 14 2009
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