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A335952 Denominators of the Faulhaber polynomials. 3
1, 1, 1, 3, 3, 5, 3, 105, 3, 45, 105, 165, 45, 273, 7, 15, 231, 1785, 9, 25935, 105, 3465, 1155, 2415, 315, 16575, 429, 1485, 399, 435, 45, 465465, 2145, 8415, 41055, 525, 1485, 10555545, 57057, 585, 105, 268345, 19635, 18723705, 15015 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

See A335951 for comments, programs and references.

LINKS

Table of n, a(n) for n=0..44.

PROG

(Python)

from math import lcm

from sympy import simplify, sqrt, bernoulli

from sympy.abc import x

def A335952(n): return lcm(*(d.q for d in simplify((bernoulli(2*n, (sqrt(8*x+1)+1)/2)-bernoulli(2*n, 1))/(2*n)).as_poly().all_coeffs())) # Chai Wah Wu, May 17 2022

CROSSREFS

Cf. A335951 (numerators).

Sequence in context: A122037 A201454 A008316 * A290284 A258802 A072820

Adjacent sequences:  A335949 A335950 A335951 * A335953 A335954 A335955

KEYWORD

nonn,frac

AUTHOR

Peter Luschny, Jul 16 2020

STATUS

approved

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Last modified September 29 14:20 EDT 2022. Contains 357090 sequences. (Running on oeis4.)