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Search: id:A118393
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| A118393 |
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Eigenvector of triangle A059344. E.g.f.: exp( Sum_{n>=0} x^(2^n) ). |
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+0
2
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| 1, 1, 3, 7, 49, 201, 1411, 7183, 108417, 816049, 9966691, 80843511, 1381416433, 14049020857, 216003063459, 2309595457471, 72927332784001, 1046829280528353, 23403341433961027, 329565129021010279, 9695176730057249841
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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E.g.f. of A059344 is: exp(x+y*x^2). More generally, given a triangle with e.g.f.: exp(x+y*x^b), the eigenvector will have e.g.f.: exp( Sum_{n>=0} x^(b^n) ).
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FORMULA
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a(n) = Sum_{k=0..[n/2]} n!/k!/(n-2*k)! *a(k) for n>=0, with a(0)=1.
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PROGRAM
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(PARI) a(n)=n!*polcoeff(exp(sum(k=0, #binary(n), x^(2^k))+x*O(x^n)), n)
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CROSSREFS
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Cf. A059344, variants: A118395, A118930.
Sequence in context: A019039 A077559 A062959 this_sequence A113775 A113236 A035499
Adjacent sequences: A118390 A118391 A118392 this_sequence A118394 A118395 A118396
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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), May 07 2006
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