A037327 Numbers whose base-6 and base-7 expansions have the same digit sum.

1, 2, 3, 4, 5, 66, 67, 68, 69, 126, 127, 128, 129, 130, 131, 156, 157, 158, 159, 160, 189, 190, 191, 246, 247, 248, 249, 250, 251, 280, 281, 308, 309, 310, 311, 366, 367, 368, 369, 370, 396, 397, 398, 456, 457, 458, 459, 460, 461, 518, 519, 520, 521, 546, 547

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Crossrefs

Cf. A053827, A053828.

Programs

PARI

isok(k) = sumdigits(k, 6) == sumdigits(k, 7); \\ Michel Marcus, Mar 18 2023

Python

from numpy import base_repr
def ok(n):
    return sum(map(int, base_repr(n, 6))) == sum(map(int, base_repr(n, 7)))
print([n for n in range(1, 10**5) if ok(n)])
# Christoph B. Kassir, Apr 05 2023

Formula

{n: A053827(n) = A053828(n)}. - R. J. Mathar, Jun 30 2021