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 A061314 #15 Aug 31 2023 15:08:18 %S A061314 0,0,1,0,2,2,0,3,6,3,0,4,15,12,4,0,5,40,48,20,5,0,6,140,304,120,30,6, %T A061314 0,7,924,6080,1720,255,42,7,0,8,24640,1484736,186620,7480,483,56,8,0, %U A061314 9,12415040,61235956672,1393267596,3504380,26404,840,72,9,0,10 %N A061314 Table read by descending antidiagonals where T(n,k) = T(n,k-1) + T(n,k-1)^2/k^2 and T(n,0)=n. %C A061314 Not always an integer. %F A061314 T(n, k) = T(n, k-1) + A061315(n, k)^2. %e A061314 The table begins: %e A061314 0, 0, 0, 0, 0,... %e A061314 1, 2, 3, 4, 5,... %e A061314 2, 6, 15, 40, 140,... %e A061314 3, 12, 48, 304, 6080,... %e A061314 4, 20, 120, 1720, 186620,... %e A061314 5, 30, 255, 7480, 3504380,... %e A061314 6, 42, 483, 26404, 43599605,... %e A061314 7, 56, 840, 79240, 392515340,... %e A061314 8, 72, 1368, 209304, 2738219580,... %e A061314 ... %Y A061314 Rows include A000004, A000027 and A061322. Columns include A001477, A002378, A061316, A061318 and A061320. %K A061314 nonn,tabl %O A061314 0,5 %A A061314 _Henry Bottomley_, Apr 24 2001