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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.

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A349203 Triangle read by rows, T(n, k) = (lcm_{k=0..n} binomial(n, k)) / binomial(n, k).

Original entry on oeis.org

1, 1, 1, 2, 1, 2, 3, 1, 1, 3, 12, 3, 2, 3, 12, 10, 2, 1, 1, 2, 10, 60, 10, 4, 3, 4, 10, 60, 105, 15, 5, 3, 3, 5, 15, 105, 280, 35, 10, 5, 4, 5, 10, 35, 280, 252, 28, 7, 3, 2, 2, 3, 7, 28, 252, 2520, 252, 56, 21, 12, 10, 12, 21, 56, 252, 2520
Offset: 0

Views

Author

Peter Luschny, Nov 13 2021

Keywords

Examples

			Triangle starts:
[0]   1;
[1]   1,  1;
[2]   2,  1,  2;
[3]   3,  1,  1, 3;
[4]  12,  3,  2, 3, 12;
[5]  10,  2,  1, 1,  2, 10;
[6]  60, 10,  4, 3,  4, 10, 60;
[7] 105, 15,  5, 3,  3,  5, 15, 105;
[8] 280, 35, 10, 5,  4,  5, 10,  35, 280;
[9] 252, 28,  7, 3,  2,  2,  3,   7,  28, 252;

Crossrefs

Cf. A007318, A347563, A025533 (row sums), A002944 (column 0 and main diagonal).

Programs

  • Maple
    b := n -> ilcm(seq(binomial(n, k), k=0..n)):
A349203 := (n, k) -> b(n)/binomial(n, k):
seq(seq(A349203(n, k), k = 0..n), n = 0..11);
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