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

0,2

Links

Table of n, a(n) for n=0..29.

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

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

Cf. A099604, A099605, A034870.

Sequence in context: A015951 A244666 A101531 * A077550 A301809 A056780

Adjacent sequences: A099604 A099605 A099606 * A099608 A099609 A099610

Keyword

nonn

Author

Paul D. Hanna, Oct 25 2004

Status

approved