id:A097095 - OEIS Search Results

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Main diagonal of triangle A097094; g.f. A(x) satisfies A(x)/(1-x-x^2) = A(x^2)^2/(1-x-x^3)^2.

+0
4

1, 1, 2, 3, 7, 8, 15, 19, 37, 42, 66, 76, 122, 114, 148, 90, 77, -213, -574, -1511, -2860, -5773, -10209, -18310, -30884, -52778, -87051, -143621, -232157, -375464, -599112, -953504, -1504430, -2368510, -3706276, -5782850, -8984526, -13924596, -21511458, -33151454, -50964864, -78187890 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: A(x)/(1-x-x^2) = g.f. of A097096 (row sums of A097094); G.f.: A(x^2)/(1-x-x^3) = g.f. of A097097 (antidiagonal sums of A097094).`
	PROGRAM	`(PARI) {a(n)=local(A=1+x+xO(x^n)); for(i=0, n+2, B=subst(A^2, x, x^2); A=(A+B(1-x-x^2)/(1-x-x^3+xO(x^n))^2)/2); round(polcoeff(A+xO(x^n), n))}`
	CROSSREFS	`Cf. A097094, A097096, A097097.` `Sequence in context: A084406 A075648 A071527 this_sequence A101755 A076550 A062269` `Adjacent sequences: A097092 A097093 A097094 this_sequence A097096 A097097 A097098`
	KEYWORD	`sign`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jul 26 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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