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A099607
Antidiagonal sums of triangle A099605, in which row n equals the inverse binomial transform of column n of the triangle A034870 of even-indexed rows of Pascal's triangle.
1
1, 2, 3, 9, 21, 40, 100, 225, 482, 1119, 2513, 5565, 12636, 28376, 63481, 143118, 321483, 721413, 1622729, 3645740, 8188668, 18406009, 41355654, 92914375, 208799157, 469157625, 1054150840, 2368736000, 5322460497, 11959337226
OFFSET
0,2
FORMULA
G.f.: (1+2*x+x^2-x^3)/(1-2*x^2-6*x^3-3*x^4+2*x^5+x^6).
PROG
(PARI) {a(n)=polcoeff((1+2*x+x^2-x^3)/(1-2*x^2-6*x^3-3*x^4+2*x^5+x^6)+x*O(x^n), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 25 2004
STATUS
approved