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

1,1

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).

Links

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

Example

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

Prog

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

Crossrefs

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

Sequence in context: A303529 A167528 A269230 * A035112 A308765 A236324

Adjacent sequences: A229112 A229113 A229114 * A229116 A229117 A229118

Keyword

nonn

Author

Jaroslav Krizek, Oct 24 2013

Status

approved