A351284 Irregular triangle read by rows: the n-th row gives the x-values of the solutions of the equation 2*(x - 1)*y - (x - 3)*x = 2*n for 0 < x <= y.

2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 4, 2, 2, 3, 2, 4, 5, 2, 3, 2, 6, 2, 3, 4, 2, 5, 2, 3, 2, 4, 2, 3, 6, 2, 5, 2, 3, 4, 7, 2, 2, 3, 2, 4, 5, 6, 2, 3, 2, 2, 3, 4, 7, 2, 5, 2, 3, 6, 8, 2, 4, 2, 3, 2, 5, 2, 3, 4, 7, 2, 6, 2, 3, 2, 4, 5, 8

Offset

3,1

Comments

Equivalently, the n-th row gives the column indices corresponding to n in the triangle A351153.

Links

Table of n, a(n) for n=3..92.

Example

Triangle begins:
  2;
  2;
  2;
  2, 3;
  2;
  2, 3;
  2;
  2, 3, 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, d+1]]]; r, {n, 3, 43}]//Flatten

Crossrefs

Cf. A341829, A351153, A136107 (row length or solutions number), A351285 (y-values).

Sequence in context: A074592 A089993 A220431 * A268317 A234092 A047931

Adjacent sequences: A351281 A351282 A351283 * A351285 A351286 A351287

Keyword

nonn,tabf

Author

Stefano Spezia, Feb 06 2022

Status

approved