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

0,2

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.

Links

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

Example

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).

Sequence in context: A196839 A295315 A089808 * A139547 A323855 A126342

Adjacent sequences: A290315 A290316 A290317 * A290319 A290320 A290321

Keyword

nonn,easy,frac,tabl

Author

Wolfdieter Lang, Aug 06 2017

Extensions

Definition corrected by Eric M. Schmidt, Dec 16 2017

Status

approved