cp's OEIS Frontend

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.

A358877 Triangle read by rows: T(n,k) is the number of cubes of side length k that can be placed inside a cube of side length n without overlap, 1 <= k <= n.

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%I A358877 #38 Feb 19 2023 17:15:13
%S A358877 1,8,1,27,1,1,64,8,1,1,125,8,1,1,1,216,27,8,1,1,1,343,27,8,1,1,1,1,
%T A358877 512,64,8,8,1,1,1,1,729,64,27,8,1,1,1,1,1,1000,125,27,8,8,1,1,1,1,1,
%U A358877 1331,125,27,8,8,1,1,1,1,1,1,1728,216,64,27,8,8,1,1,1,1,1,1
%N A358877 Triangle read by rows: T(n,k) is the number of cubes of side length k that can be placed inside a cube of side length n without overlap, 1 <= k <= n.
%C A358877 T(n,k) is a cube 1 <= k <= n.
%C A358877 Alternative construction: Write each column k with each cube repeated k times.
%C A358877 Row sums of triangle are A318742.
%e A358877 Triangle begins:
%e A358877    1;
%e A358877    8,   1;
%e A358877   27,   1,  1;
%e A358877   64,   8,  1,  1;
%e A358877  125,   8,  1,  1,  1;
%e A358877  216,  27,  8,  1,  1,  1;
%e A358877  343,  27,  8,  1,  1,  1, 1;
%e A358877  512,  64,  8,  8,  1,  1, 1, 1;
%e A358877  729,  64, 27,  8,  1,  1, 1, 1, 1;
%e A358877 1000, 125, 27,  8,  8,  1, 1, 1, 1, 1;
%e A358877 1331, 125, 27,  8,  8,  1, 1, 1, 1, 1, 1;
%e A358877 1728, 216, 64, 27,  8,  8, 1, 1, 1, 1, 1, 1;
%e A358877 ...
%o A358877 (Python)
%o A358877 def T(n, k): return (n//k)**3
%Y A358877 Cf. A000578, A318742, A360610.
%K A358877 nonn,tabl
%O A358877 1,2
%A A358877 _Torlach Rush_, Feb 17 2023