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A092221
Numbers k such that numerator of Bernoulli(2*k) is divisible by 59, the second irregular prime.
14
22, 51, 59, 80, 109, 118, 138, 167, 177, 196, 225, 236, 254, 283, 295, 312, 341, 354, 370, 399, 413, 428, 457, 472, 486, 515, 531, 544, 573, 590, 602, 631, 649, 660, 689, 708, 718, 747, 767, 776, 805, 826, 834, 863, 885, 892, 921, 944, 950, 979, 1003, 1008
OFFSET
1,1
COMMENTS
Satisfies a(n) = 2*a(n-3) - a(n-6) for n < 67. - Chai Wah Wu, May 28 2016
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..6450 (terms 1..1000 from Joerg Arndt)
Eric Weisstein's World of Mathematics, Bernoulli Number.
MATHEMATICA
Select[ Range[ 1036], Mod[ Numerator[ BernoulliB[2# ]], 59] == 0 &]
PROG
(Python)
from sympy import bernoulli
A092221_list = [n for n in range(10**3) if not bernoulli(2*n).p % 59] # Chai Wah Wu, May 28 2016
(PARI) for(n=0, 10^3, if( numerator(bernfrac(2*n))%59==0, print1(n, ", ") ) ); \\ Joerg Arndt, May 29 2016
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Feb 25 2004
STATUS
approved