This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A099607 #6 Mar 07 2024 14:05:36 %S A099607 1,2,3,9,21,40,100,225,482,1119,2513,5565,12636,28376,63481,143118, %T A099607 321483,721413,1622729,3645740,8188668,18406009,41355654,92914375, %U A099607 208799157,469157625,1054150840,2368736000,5322460497,11959337226 %N 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. %H A099607 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2, 6, 3, -2, -1). %F A099607 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 A099607 (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 A099607 Cf. A099604, A099605, A034870. %K A099607 nonn %O A099607 0,2 %A A099607 _Paul D. Hanna_, Oct 25 2004