A243118 Numbers n such that A242962(x) = n has no solution.

2, 4, 5, 7, 9, 10, 11, 16, 17, 19, 21, 22, 23, 25, 26, 27, 29, 33, 34, 35, 37, 41, 43, 45, 46, 47, 49, 50, 51, 52, 53, 55, 58, 59, 61, 64, 65, 66, 67, 69, 70, 71, 73, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 88, 89, 92, 94, 95, 97, 99, 100, 101, 103, 105, 106

Offset: 1

Author

Jaroslav Krizek, May 29 2014

Keywords

• nonn

Comments

A242962(n) = (n*(n+1)/2) mod antisigma(n) = A000217(n) mod A024816(n); where A000217(n) = triangular numbers, A024816(n) = sum of numbers less than n which do not divide n.

Union of A007369 and numbers 4 and 7.

Complement of A243117.

a(n) = A007369(n-2) for n >= 5, where A007369 = numbers n such that sigma(x) = n has no solution.

Examples

			4 is in the sequence because there is no x whose A242962(x) = 4.
		

Crossrefs

Cf. A000203, A007369, A242962, A242963, A243117.