A004653 Powers of 2 written in base 14. (Next term contains a non-decimal character.)

1, 2, 4, 8, 12, 24, 48, 92, 144, 288, 532

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• base

Comments

Next term contains a non-decimal character if such characters are chosen to represent digits > 9, where "digit" means the coefficients in N = Sum_{k>=0} d_k * b^k. This isn't possible here, but digits 0, 10, ..., 13 could be represented, e.g., using 00, 10, ..., 40. This would not affect a(0)..a(10), which don't have a digit 0. - M. F. Hasler, Jun 25 2018

Crossrefs

Cf. A000079, A004642, ..., A004655: powers of 2 written in base 10, 2, 3, ..., 16.

Cf. A000244, A004656, A004658, A004659, ...: powers of 3 in base 10, 2, 4, 5, ...

Programs

Mathematica

BaseForm[Table[2^n, {n, 0, 10}], 14] (* Alonso del Arte, Mar 18 2005 *)

PARI

apply( a(n)=fromdigits(digits(2^n,14)), [0..10]) \\ This yields Sum d[k]*10^k where d[k] are the base 14 digits. To get strings possibly containing letters 'A'..'D' replace fromdigits(...) by Strchr(apply(d->48+d+(d>9)*7,...)). - M. F. Hasler, Jun 25 2018