

A351285


Irregular triangle read by rows in which row n gives the yvalues 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
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OFFSET

3,1


COMMENTS

Equivalently, the nth row gives the row indices corresponding to n in the triangle A351153.


LINKS



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+(d2)(d+1), 2d], AppendTo[r, (2n+(d2)(d+1))/(2d)]]]; r, {n, 3, 37}]//Flatten


CROSSREFS



KEYWORD

nonn,tabf


AUTHOR



STATUS

approved



