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 A277647 #20 Sep 08 2022 08:46:17 %S A277647 1,2,1,1,1,3,2,1,1,1,1,1,1,1,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,5,3,2,2, %T A277647 2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,4,3,3,2,2,2,2,2,1,1,1,1, %U A277647 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,4,4,3,3,2,2,2,2,2,2,2 %N A277647 Triangle T(n,k) = floor(n/sqrt(k)) for 1 <= k <= n^2, read by rows. %H A277647 Jason Kimberley, <a href="/A277647/b277647.txt">Table of n, a(n) for n = 1..10416 (the first 31 rows of the triangle)</a> %F A277647 T(n,k) = A000196(A277646(n,k)). %F A277647 T(n,k)sqrt(k) <= n < (T(n,k)+1)sqrt(k). %e A277647 The first five rows of the triangle are: %e A277647 1; %e A277647 2, 1, 1, 1; %e A277647 3, 2, 1, 1, 1, 1, 1, 1, 1; %e A277647 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1; %e A277647 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1; %t A277647 Table[Floor[n/Sqrt@ k], {n, 7}, {k, n^2}] // Flatten (* _Michael De Vlieger_, Nov 24 2016 *) %o A277647 (Magma) %o A277647 A277647:=func<n,k|Isqrt(n^2 div k)>; %o A277647 [A277647(n,k):k in[1..n^2],n in[1..7]]; %o A277647 (PARI) row(n) = for(k=1, n^2, print1(floor(n/sqrt(k)), ", ")); print("") %o A277647 trianglerows(n) = for(k=1, n, row(k)) %o A277647 /* Print initial five rows of triangle as follows: */ %o A277647 trianglerows(5) \\ _Felix Fröhlich_, Nov 12 2016 %Y A277647 Cf. A010766, A277646, A277648. %Y A277647 The 1000th row is A033432. %K A277647 nonn,tabf,easy %O A277647 1,2 %A A277647 _Jason Kimberley_, Nov 09 2016