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, 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.

Links

Table of n, a(n) for n=3..76.

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

Adjacent sequences: A351282 A351283 A351284 * A351286 A351287 A351288

Keyword

nonn,tabf

Author

Stefano Spezia, Feb 06 2022

Status

approved