A246337 Numbers n which when expressed in base 16 are palindromes whose digit sum and digit product both divide n.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 273, 69905, 78129, 200979, 17903889, 4581298449, 1172816597265, 1174959919377, 300240008712465, 300240176484625, 370608786444625

Offset

1,2

Links

Table of n, a(n) for n=1..26.

Prog

(Python)
from operator import mul
from functools import reduce
from gmpy2 import t_mod, digits, mpz
A246337 = sorted([mpz(n, 16) for n in (digits(x, 16)+digits(x, 16)[::-1]
....for x in range(1, 16**7)) if not (n.count('0') or
....t_mod(mpz(n, 16), sum((mpz(d, 16) for d in n)))
....or t_mod(mpz(n, 16), reduce(mul, (mpz(d, 16) for d in n))))] +
....[mpz(n, 16) for n in (digits(x, 16)+digits(x, 16)[-2::-1]
....for x in range(16**7)) if not (n.count('0') or
....t_mod(mpz(n, 16), sum((mpz(d, 16) for d in n)))
....or t_mod(mpz(n, 16), reduce(mul, (mpz(d, 16) for d in n))))])

Crossrefs

Cf. A117228, A246338.

Sequence in context: A262545 A043320 A044917 * A161953 A187829 A356974

Adjacent sequences: A246334 A246335 A246336 * A246338 A246339 A246340

Keyword

nonn,base

Author

Chai Wah Wu, Aug 22 2014

Status

approved