A290318 Triangle read by rows. Row n gives the denominators of the coefficients of the Bernoulli polynomials of the second kind (in rising powers).

1, 2, 1, 6, 1, 1, 4, 1, 2, 1, 30, 1, 1, 1, 1, 4, 1, 1, 3, 2, 1, 84, 1, 1, 1, 2, 1, 1, 24, 1, 1, 3, 4, 1, 2, 1, 90, 1, 1, 1, 1, 1, 3, 1, 1, 20, 1, 1, 1, 1, 5, 1, 1, 2, 1, 132, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1

Offset: 0

Author

Wolfdieter Lang, Aug 06 2017

Keywords

• nonn
• easy
• frac
• tabl

Comments

The numerators appear in A290317, where more information is found.

The LCM of row n seems to be A002790(n).

The first column is given by A006233.

Examples

			The triangle T(n, k) begins:
n\k     0 1 2 3 4 5 6 7 8 9 10 ...
0:      1
1:      2 1
2:      6 1 1
3:      4 1 2 1
4:     30 1 1 1 1
5:      4 1 1 3 2 1
6:     84 1 1 1 2 1 1
7:     24 1 1 3 4 1 2 1
8:     90 1 1 1 1 1 3 1 1
9:     20 1 1 1 1 5 1 1 2 1
10:   132 1 1 1 1 1 1 1 2 1  1
...
For the first rows of the rational triangle r(n, m) see A290317.
		

Crossrefs

Cf. A002790, A006233, A290317 (numerators).

Extensions

Definition corrected by Eric M. Schmidt, Dec 16 2017