id:A136631 - OEIS Search Results

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Antidiagonal sums of triangle A136630, omitting antidiagonals of all zeros.

+0
2

1, 1, 2, 6, 28, 177, 1449, 14869, 185230, 2738962, 47287352, 939759621, 21241309681, 540698975061, 15370957337418, 484433735633218, 16817886069720724, 639545680226171989, 26507567678760284105 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = Sum_{k=0..n} [x^(2n-2k)] Product_{j=0..[k/2]} 1/(1 - (2j + k-2[k/2])^2*x^2).`
	PROGRAM	`(PARI) {a(n)=sum(k=0, n, polcoeff(1/prod(j=0, k\2, 1-(2j+(k%2))^2x^2 +xO(x^(2n-2k))), 2n-2*k))}`
	CROSSREFS	`Cf. A136630, A003724 (row sums of A136630).` `Sequence in context: A088501 A140092 A052809 this_sequence A002435 A104018 A100526` `Adjacent sequences: A136628 A136629 A136630 this_sequence A136632 A136633 A136634`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jan 14 2008`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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