A163813 - OEIS

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A163813

Start with A000961 = prime powers p^k (p prime, k >= 0): 1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, ... Then for each m >= 1 swap the m-th prime (k=1) with the m-th proper prime power (k>1).

1, 4, 8, 2, 9, 16, 3, 5, 25, 27, 7, 32, 49, 64, 11, 13, 81, 121, 17, 125, 128, 169, 243, 19, 256, 289, 343, 23, 361, 512, 529, 625, 29, 729, 841, 961, 1024, 1331, 1369, 1681, 1849, 31, 37, 2048, 41, 2187, 2197, 2209, 2401, 2809, 3125, 3481, 3721, 43, 4096, 4489, 4913, 5041, 5329, 6241, 6561, 6859, 6889, 7921, 8192, 9409

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This is a permutation of A000961.

LINKS

Diana L. Mecum, Table of n, a(n) for n = 1..142

EXAMPLE

First prime, 2, is swapped with first prime power, 4.

Second prime, 3, is swapped with 2nd prime power, 8.

Third prime, 5, is swapped with 3rd prime power, 9.

CROSSREFS