id:A099604 - OEIS Search Results

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Antidiagonal sums of triangle A099602, in which row n equals the inverse binomial transform of column n of the triangle of trinomial coefficients (A027907).

+0
3

1, 1, 2, 4, 7, 12, 23, 40, 72, 131, 233, 420, 756, 1355, 2438, 4381, 7868, 14144, 25413, 45661, 82058, 147444, 264943, 476092, 855483, 1537236, 2762296, 4963591, 8919173, 16027012, 28799164, 51749715, 92989886, 167094985, 300255720 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1+x-x^3)/(1-2x^2-3x^3+2x^5+x^6). a(n) = 2a(n-2) + 3a(n-3) - 2a(n-5) - a(n-6) for n>=6.`
	PROGRAM	`(PARI) a(n)=polcoeff((1+x-x^3)/(1-2x^2-3x^3+2x^5+x^6)+xO(x^n), n, x)`
	CROSSREFS	`Cf. A099602, A027907.` `Sequence in context: A135360 A082548 A007323 this_sequence A026790 A054165 A054171` `Adjacent sequences: A099601 A099602 A099603 this_sequence A099605 A099606 A099607`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 25 2004`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

AT&T Labs Research