A383026 Triangle T(n,k) read by rows whose n-th row is the lexicographically first n-tuple of ordered distinct positive integers with sum A382547(n) and product A382547(n) * 100^(n-1), or an n-tuple of zeros when A382547(n) = 0.

1, 180, 225, 150, 175, 200, 125, 160, 175, 184, 125, 127, 150, 160, 200, 100, 125, 140, 150, 175, 192, 80, 100, 125, 150, 160, 173, 250, 80, 100, 110, 125, 140, 150, 200, 250, 50, 100, 112, 125, 150, 155, 160, 200, 250, 50, 80, 100, 125, 128, 150, 170, 175, 200, 250

Offset: 1

Author

Markus Sigg, Apr 13 2025

Keywords

• nonn
• fini
• tabl

Comments

Because A382547(n) > 0 for only finitely many n, the triangle has only finitely many nonzero rows.

Examples

			Triangle begins:
    1,
  180, 225,
  150, 175, 200,
  125, 160, 175, 184,
  125, 127, 150, 160, 200,
  100, 125, 140, 150, 175, 192,
   80, 100, 125, 150, 160, 173, 250,
   80, 100, 110, 125, 140, 150, 200, 250,
   50, 100, 112, 125, 150, 155, 160, 200, 250,
   50,  80, 100, 125, 128, 150, 170, 175, 200, 250,
   50,  65,  75, 100, 125, 128, 150, 175, 200, 250, 320,
   25,  50,  80, 100, 125, 128, 150, 200, 225, 230, 250, 300,
  ...
For n = 6 there are three 6-tuples with sum A382547(6) = 882 and product 100^5 * 882, namely (100, 125, 140, 150, 175, 192), (100, 125, 147, 150, 160, 200), (112, 120, 125, 150, 175, 200). The first of these is the lexicographically smallest and thus is row 6 of the triangle.
		

Links

• Markus Sigg, Table of n, a(n) for n = 1..231, rows 1..21, flattened.

Crossrefs

Cf. A382547, A380887, A381187.