A243617 Numbers whose sum of digits equals the number of bits in its binary expansion. No zeros allowed in the digital expansion.

1, 2, 13, 23, 33, 42, 51, 115, 124, 134, 143, 152, 161, 215, 224, 233, 242, 251, 261, 315, 324, 333, 342, 351, 414, 423, 432, 441, 514, 523, 532, 541, 613, 622, 631, 712, 721, 811, 1118, 1127, 1136, 1145, 1154, 1163, 1172, 1181, 1217, 1226, 1235, 1244

Offset

1,2

Comments

This sequence is a subsequence of A243615.

Links

Andreas Boe, Table of n, a(n) for n = 1..10000

Example

42 -> 4+2=6, 42=101010_2 -> 6 bits.

Prog

(PARI) isok(n) = (sumdigits(n) == #binary(n)) && (vecmin(digits(n)) != 0); \\ Michel Marcus, Jun 08 2014

Crossrefs

Cf. A243615 (same principle, but zeros allowed in digital expansion).

Sequence in context: A234218 A171794 A243615 * A045389 A243621 A195190

Adjacent sequences: A243614 A243615 A243616 * A243618 A243619 A243620

Keyword

nonn,base

Author

Andreas Boe, Jun 07 2014

Status

approved