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 A038697 #12 May 23 2019 05:03:47 %S A038697 3,26,163,894,4558,22196,104739,483062,2189530,9789900,43295118, %T A038697 189749676,825364668,3567219688,15332925731,65591312550,279415474594, %U A038697 1185903736412,5016725589402,21159849864964,89012979703940 %N A038697 Convolution of A000917 with A000984 (central binomial coefficients). %C A038697 Also convolution of A007054 (Super ballot numbers) with A002697; %H A038697 Robert Israel, <a href="/A038697/b038697.txt">Table of n, a(n) for n = 0..1652</a> %F A038697 a(n) = n*4^(n+1)+binomial(2*n+3, n+1). %F A038697 G.f.: c(x)*(4-c(x))/(1-4*x)^2, where c(x) = g.f. for Catalan numbers A000108. %F A038697 (160+64*n)*a(n) - (160+48*n)*a(n+1) + (50+12*n)*a(n+2) - (5+n)*a(n+3)=0. - _Robert Israel_, May 22 2019 %p A038697 seq(n*4^(n+1)+binomial(2*n+3,n+1),n=0..30); # _Robert Israel_, May 22 2019 %Y A038697 Cf. A007054, A038665, A038679, A000917, A000108, A000984, A002697. %K A038697 easy,nonn %O A038697 0,1 %A A038697 _Wolfdieter Lang_