A004654 Powers of 2 written in base 15. (Next term contains a non-decimal character.)

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 918, 1331, 2662

Offset

0,2

Comments

a(14) is defined as "2^14 written in base 15". However, the base-15 digits of 2^14 are [4,12,12,4]. The standard convention of using letters A, B, ... to represent digits > 9, cannot be used in the Data sections of OEIS entries. One possibility to encode such terms within the given constraints and without affecting the earlier terms would be to use 00, 10, 20, ..., 50 to represent unambiguously the digits 0, 10, 11, ..., 14. - M. F. Hasler, Jun 22 2018.

This sequence makes a nice puzzle. It would be possible to allow non-decimal characters by using pairs of decimal digits instead of single digits, but this would spoil the beauty of the puzzle. - N. J. A. Sloane, Jun 25 2018

Links

Table of n, a(n) for n=0..13.

Prog

(PARI) apply( a(n, b=15, m=2)=fromdigits(digits(m^n, b)), [0..13]) \\ This sums the base-15 digits multiplied by powers of 10. Digits > 9 occurring for n >= 14 will carry over to the left (4CC4 -> 5324). - M. F. Hasler, Jun 22 2018

Crossrefs

Cf. A000079, A004643, ..., A004655: powers of 2 written in base 10, 4, 5, ..., 16.

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

Sequence in context: A363735 A053437 A018277 * A018749 A101831 A246703

Adjacent sequences: A004651 A004652 A004653 * A004655 A004656 A004657

Keyword

nonn,base

Author

N. J. A. Sloane

Status

approved