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Search: id:A119374
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| 1, 3, 10, 36, 133, 501, 1918, 7440, 29180, 115522, 461044, 1852938, 7492846, 30464306, 124461782, 510696350, 2103708187, 8696498477, 36066269640, 150015248758, 625664295594, 2615929689642, 10962436020878, 46037427169060
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OFFSET
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0,2
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FORMULA
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G.f.: A(x) = B(x)^3/(1+x - x*B(x)) = B(x)^3*G(x) = B(x)^2*H(x) = B(x)*I(x), where B(x) is g.f. of A119370, G(x) is g.f. of A119371, H(x) is g.f. of A119372 and I(x) is g.f. of A119373.
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PROGRAM
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(PARI) {a(n)=polcoeff(16*(1+x)/((1+x^2)+sqrt((1+x^2)^2-4*x*(1+x)+x*O(x^n)))^3 /(1+4*x+x^2 + sqrt((1+4*x+x^2)^2 - 4*x*(1+x)*(3+2*x)+x*O(x^n))), n)}
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CROSSREFS
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Cf. A119369, A119370, A119371, A119372, A119373, A119375, A119376.
Sequence in context: A149040 A055989 A102871 this_sequence A126188 A081909 A126189
Adjacent sequences: A119371 A119372 A119373 this_sequence A119375 A119376 A119377
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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 17 2006
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