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Search: id:A157312
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| 1, 1, 1, 2, 5, 18, 84, 481, 3249, 25359, 224000, 2208441, 24019991, 285633470, 3685413373, 51271476627, 764944009086, 12182390286127, 206262410584138, 3699483818281188, 70067511789111404, 1397379232420943285
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OFFSET
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0,4
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EXAMPLE
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G.f.: A(x) = 1 + x + x^2 + 2*x^3 + 5*x^4 + 18*x^5 + 84*x^6 +...
where both the exponential:
A(x) = exp(x + x^2/2 + 4*x^3/3 + 13*x^4/4 + 66*x^5/5 + 394*x^6/6 +...)
and the product:
A(x) = (1 + x)(1 + x^2)(1 + x^3)(1 + 4*x^4)(1 + 13*x^5)(1 + 66*x^6)*...
generate A(x) using the same coefficients (after intial term):
A157311=[1,1,1,4,13,66,394,2759,22005,198049,1979646,21776107,...].
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CROSSREFS
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Cf. A157311.
Sequence in context: A111916 A118187 A038720 this_sequence A089412 A058798 A122596
Adjacent sequences: A157309 A157310 A157311 this_sequence A157313 A157314 A157315
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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), Mar 10 2009
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