A214153 Numbers k for which k and tau(k) are both congruent to 1 modulo 3.

1, 10, 22, 34, 46, 55, 58, 64, 82, 85, 91, 94, 106, 112, 115, 118, 133, 142, 145, 166, 178, 187, 202, 205, 208, 214, 217, 226, 235, 247, 253, 259, 262, 265, 274, 280, 295, 298, 301, 304, 319, 334, 343, 346, 355, 358, 382, 391, 394, 403, 415, 427, 445, 451

Offset: 1

Author

Gerasimov Sergey, Jul 05 2012

Keywords

• nonn

Examples

			The divisors of 10 are: 1, 2, 5, 10 (4 divisors). 10 and 4 are both congruent to 1 modulo 3. Thus 10 is a member of this sequence.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Intersection of A016777 and A211337.

Cf. A000005.

Programs

Mathematica

Select[Range[1, 500, 3], Mod[DivisorSigma[0, #], 3] == 1 &] (* T. D. Noe, Jul 09 2012 *)