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A157314
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G.f.: A(x) = exp( Sum_{n>=1} A157313(n)*x^n/n ) = 1/Product_{n>=1} (1 - A157313(n-1)*x^n).
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1
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1, 1, 2, 5, 16, 62, 298, 1700, 11448, 88622, 778532, 7636888, 82782697, 981775224, 12643542295, 175638751080, 2617558335383, 41650633309937, 704712768652527, 12632584581030449, 239150363847113653, 4767657035201958150
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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EXAMPLE
| G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 16*x^4 + 62*x^5 + 298*x^6 +...
where the exponential:
A(x) = exp(x + 3*x^2/2 + 10*x^3/3 + 43*x^4/4 + 216*x^5/5 + 1326*x^6/6 +...)
and the product:
1/A(x) = (1 - x)(1 - x^2)(1 - 3*x^3)(1 - 10*x^4)(1 - 43*x^5)(1 - 216*x^6)*...
generate A(x) using the same coefficients (after initial term):
A157313=[1,1,3,10,43,216,1326,9283,74667,672085,6730098,74031079,...].
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CROSSREFS
| Cf. A157313, A157312.
Sequence in context: A173469 A138549 A144188 * A159603 A058117 A007124
Adjacent sequences: A157311 A157312 A157313 * A157315 A157316 A157317
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Mar 10 2009
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