A163329 Inverse permutation to A163328.

0, 1, 3, 2, 4, 7, 5, 8, 12, 6, 10, 15, 11, 16, 22, 17, 23, 30, 21, 28, 36, 29, 37, 46, 38, 47, 57, 9, 13, 18, 14, 19, 25, 20, 26, 33, 24, 31, 39, 32, 40, 49, 41, 50, 60, 48, 58, 69, 59, 70, 82, 71, 83, 96, 27, 34, 42, 35, 43, 52, 44, 53, 63, 51, 61, 72, 62, 73, 85, 74, 86, 99

Offset: 0

Author

Antti Karttunen, Jul 29 2009

Keywords

• nonn

Links

• A. Karttunen, Table of n, a(n) for n = 0..6560
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A163328. a(n) = A163331(A163327(n)). A054239 is an analogous sequence for binary. Cf. A007089.

Programs

Scheme

(define (A163329 n) (A001477bi (A163325 n) (A163326 n)))
(define (A001477bi x y) (/ (+ (expt (+ x y) 2) x (* 3 y)) 2))

Formula

a(n) = A001477bi(A163325(n),A163326(n)), where A001477bi(x,y) = (((x+y)^2)+x+(3y))/2.