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 A351621 #7 Feb 20 2022 11:12:15 %S A351621 1,3,6,12,19,32,46,69,96,133,171,234,298,379,471,595,720,891,1063, %T A351621 1288,1531,1815,2100,2496,2900,3371,3873,4479,5086,5848,6611,7530, %U A351621 8491,9580,10691,12088,13486,15059,16700,18642,20585,22885,25186,27818,30580,33630,36681,40363,44060,48208 %N A351621 a(1) = 1; a(n) = 1 + a(n-1) + Sum_{k=2..n} a(floor(n/k)). %C A351621 Partial sums of A345139. %F A351621 G.f. A(x) satisfies: A(x) = ( x + Sum_{k>=2} (1 - x^k) * A(x^k) ) / (1 - x)^2. %t A351621 a[1] = 1; a[n_] := a[n] = 1 + a[n - 1] + Sum[a[Floor[n/k]], {k, 2, n}]; Table[a[n], {n, 1, 50}] %Y A351621 Cf. A001906, A022825, A025523, A078346, A102378, A345139, A351620. %K A351621 nonn %O A351621 1,2 %A A351621 _Ilya Gutkovskiy_, Feb 20 2022