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 A351620 #8 Feb 20 2022 11:12:06 %S A351620 1,2,4,8,13,22,32,48,67,93,120,164,209,266,331,418,506,626,747,905, %T A351620 1076,1276,1477,1755,2039,2370,2723,3149,3576,4112,4649,5295,5971, %U A351620 6737,7519,8501,9484,10590,11744,13109,14475,16092,17710,19561,21504,23650,25797,28386,30986,33903 %N A351620 a(1) = 1; a(n) = a(n-1) + Sum_{k=2..n} a(floor(n/k)). %C A351620 Partial sums of A320225. %F A351620 G.f. A(x) satisfies: A(x) = x/(1 - x) + (1/(1 - x)^2) * Sum_{k>=2} (1 - x^k) * A(x^k). %t A351620 a[1] = 1; a[n_] := a[n] = a[n - 1] + Sum[a[Floor[n/k]], {k, 2, n}]; Table[a[n], {n, 1, 50}] %Y A351620 Cf. A001519, A022825, A025523, A033485, A078346, A320225, A351621. %K A351620 nonn %O A351620 1,2 %A A351620 _Ilya Gutkovskiy_, Feb 20 2022