A328792 Numbers that are not the difference between any triangular number and the largest square that does not exceed it.

4, 7, 8, 13, 16, 18, 22, 23, 25, 26, 31, 33, 34, 37, 38, 40, 43, 47, 48, 49, 52, 58, 59, 60, 61, 63, 64, 67, 68, 70, 73, 76, 79, 81, 83, 85, 86, 88, 92, 93, 94, 97, 98, 99, 102, 103, 106, 108, 112, 113, 114, 115, 118, 121, 123, 124, 125, 130, 133, 134, 138

Offset

1,1

Links

Table of n, a(n) for n=1..61.

Example

For any triangular number t, let f(t) = t - floor(sqrt(t))^2.
0 is not a term: for each term t in A001110, f(t) = 0.
1 is not a term: for each term t > 1 in A164055, f(t) = 1.
2 is not a term: for each term t in A214838, f(t) = 2.
3 is not a term: for each term t > 3 in A328791, f(t) = 3.
4 is a term, however: there exists no triangular number t such that f(t) = 4.

Crossrefs

The complement of A230044.

Cf. A001110, A064784, A164055, A214838, A328791.

Sequence in context: A051027 A353802 A291402 * A073435 A324854 A086987

Adjacent sequences: A328789 A328790 A328791 * A328793 A328794 A328795

Keyword

nonn

Author

Jon E. Schoenfield, Oct 27 2019

Status

approved