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A328792
Numbers that are not the difference between any triangular number and the largest square that does not exceed it.
2
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
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.
Sequence in context: A051027 A353802 A291402 * A073435 A376163 A324854
KEYWORD
nonn
AUTHOR
Jon E. Schoenfield, Oct 27 2019
STATUS
approved