A122199 Permutation of natural numbers: a recursed variant of A122155.

0, 1, 2, 3, 4, 7, 6, 5, 8, 13, 14, 15, 12, 11, 10, 9, 16, 25, 26, 27, 28, 31, 30, 29, 24, 21, 22, 23, 20, 19, 18, 17, 32, 49, 50, 51, 52, 55, 54, 53, 56, 61, 62, 63, 60, 59, 58, 57, 48, 41, 42, 43, 44, 47, 46, 45, 40, 37, 38, 39, 36, 35, 34, 33, 64, 97, 98, 99, 100, 103, 102

Offset: 0

Author

Antti Karttunen, Aug 25 2006

Keywords

• nonn

Comments

Maps between A096111 and A096115.

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A122198.

Cf. A053644, A053645, A096111, A096115, A122155.

Programs

Scheme

(define (A122199 n) (if (< n 1) n (let ((m (A122155 n))) (+ (A053644 m) (A122199 (A053645 m))))))

Formula

a(0)=0, otherwise a(n) = A053644(A122155(n)) + a(A053645(A122155(n))).