A048844 Least positive integer k for which 19^n divides k!.

1, 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 361, 380, 399, 418, 437, 456, 475, 494, 513, 532, 551, 570, 589, 608, 627, 646, 665, 684, 703, 722, 722, 741, 760, 779, 798, 817, 836, 855, 874, 893

Offset

0,2

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Prog

(Python)
from itertools import count
from sympy import multiplicity
def A048844(n):
    if n == 0: return 1
    c = 0
    for k in count(19, 19):
        c += multiplicity(19, k)
        if c+k+19 > n:
            return 19*(max(k, n-c) if n>=19 else n+1-c) # Chai Wah Wu, Feb 24 2026

Crossrefs

See A007843 for more information.

Sequence in context: A040342 A164009 A235030 * A008601 A390696 A033900

Adjacent sequences: A048841 A048842 A048843 * A048845 A048846 A048847

Keyword

nonn

Author

Charles T. Le (charlestle(AT)yahoo.com)

Status

approved