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

Author

Antti Karttunen, Mar 02 2003

Keywords

• nonn
• base

Examples

			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.
		

Links

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

Crossrefs

Cf. A080310.

Programs

Mathematica

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

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)))))))