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A119376
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Second diagonal above the central terms of pendular trinomial triangle A119369, ignoring leading zeros.
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7
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1, 4, 16, 63, 248, 980, 3894, 15563, 62555, 252789, 1026623, 4188390, 17159382, 70570380, 291253664, 1205935204, 5008047097, 20854723702, 87064706122, 364334839028, 1527943938306, 6420911995109, 27033938458595
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Equals convolution of A119370 and A119375, which is the prior diagonal above the central terms of triangle A119369.
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FORMULA
| G.f.: A(x) = B(x)^2*(G(x) - 1)/x^2 = B(x)^2*(B(x) - 1)/(x+x^2 - x^2*B(x)), where B(x) is g.f. of A119370 and G(x) is g.f. of A119371 (central terms of A119369).
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PROG
| (PARI) {a(n)=polcoeff(4/((1+x^2)+sqrt((1+x^2)^2-4*x*(1+x)+x^3*O(x^n)))^2* (2*(1+x)/(1+4*x+x^2 + sqrt((1+4*x+x^2)^2-4*x*(1+x)*(3+2*x)+x^3*O(x^n)))-1)/x^2, n)}
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CROSSREFS
| Cf. A119369, A119370, A119371, A119372, A119373, A119374, A119375.
Sequence in context: A071264 A077822 A099503 * A022030 A135450 A162547
Adjacent sequences: A119373 A119374 A119375 * A119377 A119378 A119379
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), May 17 2006
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