A245447 - OEIS

A245447

Permutation of natural numbers: a(n) = A048673(A048673(n)).

1, 2, 3, 4, 5, 14, 8, 17, 9, 7, 6, 15, 13, 10, 38, 22, 11, 35, 23, 122, 50, 32, 18, 86, 25, 26, 138, 74, 41, 30, 12, 101, 33, 16, 43, 64, 28, 39, 24, 81, 20, 45, 68, 31, 176, 59, 63, 171, 34, 62, 203, 72, 53, 239, 44, 76, 47, 27, 19, 125, 29, 149, 218, 277, 158, 182, 113, 71, 40

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OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10001

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(n) = A048673(A048673(n)).

a(n) = (1/2) * (1 + A003961((1/2) * (1+A003961(n)))). [Where A003961(n) shifts the prime factorization of n one step left.]

a(n) = ((A003961(A243501(n)/2)) + 1) / 2 = ((A003961(A243501(n))/3) + 1) / 2.

For all n >= 1, A243501(n) = A243502(a(n)).

MATHEMATICA