A237454 Minimal representation (considered minimal in any canonical base b > 3) of n in a binary system with two distinct digits "1" and "3", not allowing zeros, where a digit d in position p (p = 1,2,3,...,n) represents the value d^p.

1, 11, 3, 13, 113, 1113, 11113, 111113, 1111113, 31, 131, 33, 133, 1133, 11133, 111133, 1111133, 11111133, 111111133, 1111111133, 11111111133, 111111111133, 1111111111133, 11111111111133, 111111111111133, 1111111111111133, 11111111111111133, 111111111111111133, 311, 1311, 313, 1313, 11313, 111313, 1111313, 11111313, 331, 1331, 333, 1333, 11333

Offset

1,2

Comments

If digit "1" exists, the digits used in these numeral systems do not need to be consecutive.

Links

Table of n, a(n) for n=1..41.

Example

a(11) = 131 because 1^3 + 3^2 + 1^1 = 11.

Crossrefs

Cf. A235860.

Sequence in context: A302556 A088262 A110406 * A110434 A110798 A350246

Adjacent sequences: A237451 A237452 A237453 * A237455 A237456 A237457

Keyword

nonn,base

Author

Robin Garcia, Feb 08 2014

Status

approved