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A351285
Irregular triangle read by rows in which row n gives the y-values of the solutions of the equation 2*(x - 1)*y - (x - 3)*x = 2*n for 0 < x <= y.
2
2, 3, 4, 5, 3, 6, 7, 4, 8, 9, 5, 4, 10, 11, 6, 12, 5, 13, 7, 14, 5, 15, 8, 6, 16, 17, 9, 18, 7, 6, 19, 10, 20, 6, 21, 11, 8, 22, 7, 23, 12, 24, 9, 25, 13, 7, 26, 8, 27, 14, 10, 7, 28, 29, 15, 30, 11, 9, 8, 31, 16, 32, 33, 17, 12, 8, 34, 10, 35, 18, 9, 8, 36, 13
OFFSET
3,1
COMMENTS
Equivalently, the n-th row gives the row indices corresponding to n in the triangle A351153.
EXAMPLE
Triangle begins:
2;
3;
4;
5, 3;
6;
7, 4;
8;
9, 5, 4;
...
MATHEMATICA
Table[r={}; For[d=1, d<Floor[(Sqrt[1+8n]-1)/2], d++, If[Divisible[2n+(d-2)(d+1), 2d], AppendTo[r, (2n+(d-2)(d+1))/(2d)]]]; r, {n, 3, 37}]//Flatten
CROSSREFS
Cf. A341830, A351153, A136107(row length or solutions number), A351284 (x-values).
Sequence in context: A309079 A194551 A212644 * A341673 A278057 A366876
KEYWORD
nonn,tabf
AUTHOR
Stefano Spezia, Feb 06 2022
STATUS
approved