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

1,2

Comments

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

Links

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

Example

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.

Crossrefs

Cf. A382547, A380887, A381187.

Sequence in context: A393461 A260265 A117551 * A068545 A068403 A291457

Adjacent sequences: A383023 A383024 A383025 * A383027 A383028 A383029

Keyword

nonn,fini,tabl

Author

Markus Sigg, Apr 13 2025

Status

approved