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%I #9 Sep 01 2014 01:35:29
%S 1,2,3,4,5,6,7,105,4809,299593,1227264585,1231525449,1495765593,
%T 21734674907255625,128700665796293199,129237637608018639
%N Numbers n which when expressed in base 8 are palindromes whose digit sum and digit product both divide n.
%o (Python)
%o from operator import mul
%o from functools import reduce
%o from gmpy2 import t_mod, digits, mpz
%o A246338 = sorted([mpz(n,8) for n in (digits(x,8)+digits(x,8)[::-1]
%o ....for x in range(1,8**6)) if not (n.count('0') or
%o ....t_mod(mpz(n,8), sum((mpz(d,8) for d in n)))
%o ....or t_mod(mpz(n,8), reduce(mul,(mpz(d,8) for d in n))))] +
%o ....[mpz(n,8) for n in (digits(x,8)+digits(x,8)[-2::-1]
%o ....for x in range(8**6)) if not (n.count('0') or
%o ....t_mod(mpz(n,8), sum((mpz(d,8) for d in n)))
%o ....or t_mod(mpz(n,8), reduce(mul,(mpz(d,8) for d in n))))])
%Y Cf. A117228, A246337.
%K nonn,base
%O 1,2
%A _Chai Wah Wu_, Aug 22 2014
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