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A349203
Triangle read by rows, T(n, k) = (lcm_{k=0..n} binomial(n, k)) / binomial(n, k).
3
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
0,4
EXAMPLE
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;
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);
CROSSREFS
Cf. A007318, A347563, A025533 (row sums), A002944 (column 0 and main diagonal).
Sequence in context: A355246 A136642 A080382 * A106394 A325530 A171712
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Nov 13 2021
STATUS
approved