A140104 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A140104

A positive integer n is included if neither n-1 nor n+1 have any of the same prime-factorization exponents as n has.

1, 4, 8, 9, 16, 25, 26, 27, 32, 36, 64, 72, 108, 121, 125, 128, 144, 169, 196, 200, 216, 225, 243, 256, 392, 400, 432, 441, 484, 500, 512, 529, 648, 729, 784, 841, 864, 900, 961, 968, 972, 1024, 1089, 1152, 1156, 1296, 1331, 1352, 1372, 1521, 1568, 1600

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

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

63 has the prime-factorization 3^2 * 7^1. 64 has the prime-factorization 2^6. And 65 has the prime-factorization 5^1 * 13^1. The exponent, 6, in the prime-factorization of 64 differs from the exponents, 2 and 1, in the prime-factorization of 63 and differs from the exponents, 1 and 1, in the prime-factorization of 65. So 64 is in the sequence.

On the other hand, the prime-factorization of 39 is 3^1 * 13^1. The prime-factorization of 40 is 2^3 * 5^1. 1 occurs as both an exponent in the prime-factorization of 39 and in the prime-factorization of 40. So neither 39 nor 40 is in the sequence.

CROSSREFS

Sequence in context: A339740 A345171 A335448 * A127398 A109422 A158804

Adjacent sequences: A140101 A140102 A140103 * A140105 A140106 A140107

KEYWORD

nonn

AUTHOR

Leroy Quet, Jun 03 2008

EXTENSIONS

Extended by Ray Chandler, Jun 26 2009

STATUS

approved