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A228086 a(n) = least k which satisfies n = k + bitcount(k), or 0 if no such k exists. Here bitcount(k) (or wt(k), A000120) gives the number of 1's in binary representation of nonnegative integer k. 9
0, 0, 1, 2, 0, 3, 0, 5, 6, 8, 7, 9, 10, 0, 11, 0, 13, 14, 0, 15, 18, 0, 19, 0, 21, 22, 24, 23, 25, 26, 0, 27, 0, 29, 30, 33, 31, 0, 35, 0, 37, 38, 40, 39, 41, 42, 0, 43, 0, 45, 46, 0, 47, 50, 0, 51, 0, 53, 54, 56, 55, 57, 58, 0, 59, 64, 61, 62, 66, 63, 67, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A083058(n)+1 gives a lower bound for nonzero terms, n-1 an upper bound.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8192

Index entries for Colombian or self numbers and related sequences

PROG

(Scheme) (define (A228086 n) (if (zero? n) n (let loop ((k (+ (A083058 n) 1))) (cond ((> k n) 0) ((= n (A092391 k)) k) (else (loop (+ 1 k)))))))

CROSSREFS

Cf. A228087, A228085. A010061 gives the positions of zeros after a(0). The union of A010061 and A228088 gives the positions where a(n) = A228087(n).

Cf. also A213723, A227643.

Sequence in context: A138325 A258323 A117175 * A090482 A082857 A208092

Adjacent sequences:  A228083 A228084 A228085 * A228087 A228088 A228089

KEYWORD

nonn

AUTHOR

Antti Karttunen, Aug 09 2013

STATUS

approved

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Last modified August 25 03:03 EDT 2019. Contains 326318 sequences. (Running on oeis4.)