A080303 Rewrite 0->100 in the binary expansion of n.

4, 1, 12, 3, 100, 25, 28, 7, 804, 201, 204, 51, 228, 57, 60, 15, 6436, 1609, 1612, 403, 1636, 409, 412, 103, 1828, 457, 460, 115, 484, 121, 124, 31, 51492, 12873, 12876, 3219, 12900, 3225, 3228, 807, 13092, 3273, 3276, 819, 3300, 825, 828, 207, 14628

Offset

0,1

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Example

2 = 10 in binary, is rewritten as 1100 so a(2)=12.
4 = 100 in binary, is rewritten as 1100100 which is 100 as decimal number, thus a(4)=100.
5 = 101 in binary, is rewritten as 11001, 25 in binary, thus a(5)=25.

Mathematica

Table[FromDigits[Flatten[IntegerDigits[n, 2]/.(0->{1, 0, 0})], 2], {n, 0, 80}] (* Harvey P. Dale, Aug 19 2021 *)

Prog

(Scheme) (define (A080303 n) (cond ((zero? n) 4) ((= n 1) n) ((odd? n) (+ 1 (* 2 (A080303 (/ (- n 1) 2))))) (else (+ 4 (* 8 (A080303 (/ n 2)))))))

Crossrefs

Cf. A080310.

Sequence in context: A369908 A078710 A175763 * A145369 A145370 A130322

Adjacent sequences: A080300 A080301 A080302 * A080304 A080305 A080306

Keyword

nonn,base

Author

Antti Karttunen, Mar 02 2003

Status

approved