A246338 Numbers n which when expressed in base 8 are palindromes whose digit sum and digit product both divide n.

1, 2, 3, 4, 5, 6, 7, 105, 4809, 299593, 1227264585, 1231525449, 1495765593, 21734674907255625, 128700665796293199, 129237637608018639

Offset

1,2

Links

Table of n, a(n) for n=1..16.

Prog

(Python)
from operator import mul
from functools import reduce
from gmpy2 import t_mod, digits, mpz
A246338 = sorted([mpz(n, 8) for n in (digits(x, 8)+digits(x, 8)[::-1]
....for x in range(1, 8**6)) if not (n.count('0') or
....t_mod(mpz(n, 8), sum((mpz(d, 8) for d in n)))
....or t_mod(mpz(n, 8), reduce(mul, (mpz(d, 8) for d in n))))] +
....[mpz(n, 8) for n in (digits(x, 8)+digits(x, 8)[-2::-1]
....for x in range(8**6)) if not (n.count('0') or
....t_mod(mpz(n, 8), sum((mpz(d, 8) for d in n)))
....or t_mod(mpz(n, 8), reduce(mul, (mpz(d, 8) for d in n))))])

Crossrefs

Cf. A117228, A246337.

Sequence in context: A028429 A331565 A171644 * A037334 A037441 A270436

Adjacent sequences: A246335 A246336 A246337 * A246339 A246340 A246341

Keyword

nonn,base

Author

Chai Wah Wu, Aug 22 2014

Status

approved