A243286 Self-inverse permutation of natural numbers induced by the restriction of A243057 (or A243059 or A242420) to the union of {1} and A102750.

1, 2, 3, 4, 5, 6, 12, 8, 9, 10, 27, 7, 13, 14, 36, 16, 62, 18, 19, 121, 148, 22, 23, 24, 43, 191, 11, 28, 283, 75, 113, 32, 87, 34, 481, 15, 388, 38, 39, 160, 1456, 42, 25, 795, 213, 602, 47, 74, 49, 818, 51, 52, 339, 54, 2699, 345, 57, 58, 59, 1053, 5219, 17, 914, 64

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..126

Index entries for sequences that are permutations of the natural numbers

Formula

a(1) = 1, and for n>1, a(n) = 1 + A243285(A243057(A102750(n-1))). [Note: instead of A243057 one can also use A243059 or A242420.]

Example

With n=7, the seventh number in the complement of A070003 (i.e. in the union of {1} and A102750) is A102750(6) = 10. When A243057 (or A243059) is applied to it, the result is another number that is a member of A102750, in this case 15, which occurs there as A102750(11). Thus a(7) = 11+1 = 12.

Prog

(Scheme) (define (A243286 n) (if (<= n 1) n (+ 1 (A243285 (A243057 (A102750 (- n 1)))))))

Crossrefs

Cf. A243057, A243059, A102750, A243285, A242420.

Sequence in context: A033078 A118598 A264976 * A113006 A113323 A108377

Adjacent sequences: A243283 A243284 A243285 * A243287 A243288 A243289

Keyword

nonn

Author

Antti Karttunen, Jun 02 2014

Status

approved