A099607 - OEIS

%I #6 Mar 07 2024 14:05:36

%S 1,2,3,9,21,40,100,225,482,1119,2513,5565,12636,28376,63481,143118,

%T 321483,721413,1622729,3645740,8188668,18406009,41355654,92914375,

%U 208799157,469157625,1054150840,2368736000,5322460497,11959337226

%N 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.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2, 6, 3, -2, -1).

%F G.f.: (1+2*x+x^2-x^3)/(1-2*x^2-6*x^3-3*x^4+2*x^5+x^6).

%o (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)}

%Y Cf. A099604, A099605, A034870.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Oct 25 2004