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

Author

Antti Karttunen, Jun 02 2014

Keywords

• nonn

Examples

			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.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..126
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

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

Programs

Scheme

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

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.]