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, 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
Keywords
Links
- Index entries for linear recurrences with constant coefficients, signature (0, 2, 6, 3, -2, -1).
Programs
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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)}
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).