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Search: id:A118351
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| 1, 1, 6, 42, 325, 2688, 23286, 208659, 1918314, 17994264, 171542460, 1657212768, 16188521454, 159634359415, 1586932321578, 15886925400954, 160026976985205, 1620715748715648, 16493797802077032, 168583560794745684
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OFFSET
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0,3
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FORMULA
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G.f. A=A(x) satisfies: A = 1 - 3*x*A + 3*x*A^2 + x*A^3. G.f.: A(x) = 1 + series_reversion[x/((1+x)*(1+5*x+x^2))]. G.f.: A(x) = (1/x)*series_reversion[ x*(1-3*x+sqrt((1-3*x)*(1-7*x)))/2/(1-3*x) ].
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PROGRAM
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(PARI) {a(n)=polcoeff((serreverse(x*(1-3*x+sqrt((1-3*x)*(1-7*x)+x*O(x^n)))/2/(1-3*x))/x), n)}
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CROSSREFS
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Cf. A118350, A118352, A118353, A118354.
Sequence in context: A145301 A107266 A142985 this_sequence A033296 A082302 A144223
Adjacent sequences: A118348 A118349 A118350 this_sequence A118352 A118353 A118354
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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 26 2006
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