A265315 -id:A265315

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A265314

Triangle read by rows, the numerators of the Bell transform of B(n,1) where B(n,x) are the Bernoulli polynomials.

+10
3

1, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 0, 17, 3, 1, 0, -1, 5, 65, 5, 1, 0, 0, 7, 55, 175, 15, 1, 0, 1, -7, 2023, 245, 385, 21, 1, 0, 0, -38, 49, 34181, 595, 371, 14, 1, 0, -1, 3, -14351, 973, 56567, 525, 217, 18, 1, 0, 0, 99, -19, 10637, 13601, 208859, 2415, 355, 45, 1

(list; graph; refs; listen; history; text; internal format)

CROSSREFS

Cf. A265315 for the denominators, A265602 and A265603 for B(2n,1).

A265602

Triangle read by rows, the numerators of the Bell transform of B(2n,1) where B(n,x) are the Bernoulli polynomials.

+10
3

1, 0, 1, 0, 1, 1, 0, -1, 1, 1, 0, 1, -1, 1, 1, 0, -1, 4, 1, 5, 1, 0, 5, -163, 47, 7, 5, 1, 0, -691, 191, -109, 11, 7, 7, 1, 0, 7, -1431809, 6869, -253, 1, 119, 14, 1, 0, -3617, 130168, -7728013, 2659, -83, 11, 77, 6, 1

(list; graph; refs; listen; history; text; internal format)

CROSSREFS

Cf. A265603 for the denominators, A265314 and A265315 for B(n,1).

A265603

Triangle read by rows, the denominators of the Bell transform of B(2n,1) where B(n,x) are the Bernoulli polynomials.

+10
3

1, 1, 1, 1, 6, 1, 1, 30, 2, 1, 1, 42, 20, 1, 1, 1, 30, 63, 12, 3, 1, 1, 66, 1260, 504, 12, 2, 1, 1, 2730, 495, 360, 72, 4, 2, 1, 1, 6, 900900, 5940, 432, 2, 30, 3, 1, 1, 510, 15015, 1351350, 990, 80, 6, 10, 1, 1, 1, 798, 5105100, 360360, 154440, 1056, 80, 12, 2, 2, 1

(list; graph; refs; listen; history; text; internal format)

CROSSREFS

Cf. A265602 for the numerators, A265314 and A265315 for B(n,1).

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