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A079294 Number of distinct prime factors of the numerator of the 2n-th Bernoulli number. 5
0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 1, 5, 3, 3, 3, 5, 3, 4, 5, 3, 5, 2, 3, 6, 5, 2, 2, 3, 4, 5, 4, 5, 4, 4, 4, 4, 6, 5, 6, 5, 7, 5, 5, 3, 6, 4, 2, 5, 2, 3, 4, 9, 4, 6, 7, 4, 5, 4, 8, 8, 4, 2, 7, 7, 7, 7, 8, 5, 8, 6, 5, 8, 9, 6, 5, 3, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,11
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..103
S. S. Wagstaff, Jr., Factors of Bernoulli numbers
FORMULA
a(n) = A001221(abs(A000367(n))). - Amiram Eldar, Feb 09 2020
MATHEMATICA
Table[PrimeNu[Numerator[BernoulliB[2n]]], {n, 0, 30}] (* Amiram Eldar, Feb 09 2020 *)
PROG
(PARI) a(n)=omega(numerator(bernfrac(2*n)))
CROSSREFS
Cf. A001221, A000367, A046886.
Sequence in context: A309806 A256170 A051686 * A242789 A366712 A366713
Adjacent sequences: A079291 A079292 A079293 * A079295 A079296 A079297
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Feb 09 2003
EXTENSIONS
More terms from T. D. Noe, Feb 13 2004
STATUS
approved

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Last modified August 30 07:09 EDT 2024. Contains 375532 sequences. (Running on oeis4.)