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A099604 Antidiagonal sums of triangle A099602, in which row n equals the inverse binomial transform of column n of the triangle of trinomial coefficients (A027907). 2
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; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

G.f.: (1+x-x^3)/(1-2*x^2-3*x^3+2*x^5+x^6). a(n) = 2*a(n-2) + 3*a(n-3) - 2*a(n-5) - a(n-6) for n>=6.

PROG

(PARI) a(n)=polcoeff((1+x-x^3)/(1-2*x^2-3*x^3+2*x^5+x^6)+x*O(x^n), n, x)

CROSSREFS

Cf. A099602, A027907.

Sequence in context: A135360 A082548 A007323 * A026790 A054165 A054171

Adjacent sequences:  A099601 A099602 A099603 * A099605 A099606 A099607

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 25 2004

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Last modified February 17 08:34 EST 2012. Contains 205998 sequences.