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A115170 Non-cube-free numbers n such that 2n+1 is also non-cube-free (A046099). +0
2
40, 256, 312, 472, 688, 904, 1120, 1200, 1312, 1336, 1552, 1768, 1984, 2187, 2200, 2312, 2416, 2456, 2632, 2848, 3064, 3280, 3312, 3429, 3496, 3712, 3928, 3944, 4144, 4312, 4360, 4576, 4792, 5008, 5224, 5312, 5440, 5562, 5656, 5872, 6088, 6304 (list; graph; listen)
OFFSET

1,1

COMMENT

See also A005384 (n and 2n+1 are prime).

See also A111153 (n and 2n+1 are semiprime).

See also A117204 (n and 2n+1 are square-free).

The probability that a random integer is cube-free is 1/zeta(3) (see A088453).

EXAMPLE

312 is there because 2^3 divides 312 and 5^3 divides 312*2+1.

CROSSREFS

Cf. A000040, A001358, A005384, A046099, A088453, A111153, A117204, A115228.

Sequence in context: A074360 A068790 A073962 this_sequence A035099 A065255 A061993

Adjacent sequences: A115167 A115168 A115169 this_sequence A115171 A115172 A115173

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 03 2006

EXTENSIONS

Edited by Don Reble (djr(AT)nk.ca), Mar 05 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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