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

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

Links

Table of n, a(n) for n=0..65.

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).

Sequence in context: A355246 A136642 A080382 * A106394 A325530 A171712

Adjacent sequences: A349200 A349201 A349202 * A349204 A349205 A349206

Keyword

nonn,tabl

Author

Peter Luschny, Nov 13 2021

Status

approved