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

1,1

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.

Links

Table of n, a(n) for n=1..65.

Example

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

Crossrefs

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

Sequence in context: A122825 A159615 A026463 * A289240 A188019 A189382

Adjacent sequences: A243115 A243116 A243117 * A243119 A243120 A243121

Keyword

nonn

Author

Jaroslav Krizek, May 29 2014

Status

approved