A229115 Numbers n such that sigma(n) mod n - antisigma(n) mod n = 14, where sigma(n) = A000203(n) = sum of divisor of n, antisigma(n) = A024816(n) = sum of non-divisors of n.

32, 44, 52, 68, 76, 92, 116, 124, 144, 148, 164, 172, 188, 212, 236, 244, 268, 284, 292, 316, 332, 356, 388, 404, 412, 428, 436, 452, 508, 524, 548, 556, 596, 604, 628, 652, 668, 692, 716, 724, 764, 772, 788, 796, 844, 892, 908, 916, 932, 956, 964, 1004, 1028

Offset: 1

Author

Jaroslav Krizek, Oct 24 2013

Keywords

• nonn

Comments

Numbers n such that A229087(n) = A000203(n) mod n - A024816(n) mod n = A054024(n) - A229110(n) = 14.

Value 14 has in sequence A229087(n) anomalous increased frequency.

Subsequence of A229090 (numbers n such that sigma(n) mod n > antisigma(n) mod n).

Examples

			Number 32 is in sequence because sigma(32) mod 32 - antisigma(32) mod 32 = 63 mod 32 - 465 mod 32 = 31 - 17 = 14.
		

Links

• Jaroslav Krizek, Table of n, a(n) for n = 1..2761 (all terms < 10^5)

Crossrefs

Cf. A000203 (sigma(n)), A024816 (antisigma(n)), A229110 (antisigma(n) mod n), A054024 (sigma(n) mod n), A229090.

Programs

PARI

isok(n) = ((sigma(n) % n) - (n*(n+1)/2 - sigma(n)) % n) == 14; \\ Michel Marcus, Oct 31 2013