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 A246205 Permutation of natural numbers: a(1) = 1, a(A014580(n)) = A117968(a(n)), a(A091242(n)) = A117967(1+a(n)), where A117967 and A117968 give positive and negative parts of inverse of balanced ternary enumeration of integers, and A014580 resp. A091242 are the binary coded irreducible resp. reducible polynomials over GF(2). 3
 1, 2, 7, 5, 3, 11, 23, 15, 4, 12, 22, 33, 6, 52, 17, 13, 35, 43, 25, 16, 137, 45, 53, 36, 58, 155, 29, 47, 462, 154, 66, 135, 37, 152, 426, 30, 8, 156, 1273, 428, 24, 148, 460, 41, 423, 1426, 71, 31, 9, 427, 4283, 1410, 34, 431, 75, 1274, 159, 1423, 21, 3707, 194, 99, 44, 10, 1412, 11115, 64, 3850, 38, 1404, 103, 4281, 26, 412, 3722, 49 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..10001 FORMULA a(1) = 1, and for n > 1, if A091225(n) = 1 [i.e. n is in A014580], a(n) = A117968(a(A091226(n))), otherwise a(n) = A117967(1+a(A091245(n))). As a composition of related permutations: a(n) = A246207(A245701(n)). a(n) = A246209(A246201(n)). PROG (Scheme, with memoization-macro definec) (definec (A246205 n) (cond ((= 1 n) n) ((= 1 (A091225 n)) (A117968 (A246205 (A091226 n)))) (else (A117967 (+ 1 (A246205 (A091245 n))))))) CROSSREFS Inverse: A246206. Similar or related entanglement permutations: A246163, A245701, A246201, A246207, A246209. Cf. A014580, A091225, A091226, A091242, A091245, A117967, A117968. Sequence in context: A272699 A138344 A171037 * A160669 A301816 A021367 Adjacent sequences:  A246202 A246203 A246204 * A246206 A246207 A246208 KEYWORD nonn AUTHOR Antti Karttunen, Aug 19 2014 STATUS approved

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Last modified August 17 17:25 EDT 2019. Contains 326059 sequences. (Running on oeis4.)