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A381187 Triangle T(n,k) read by rows whose n-th row is the lexicographically first n-tuple of ordered positive integers with sum A380887(n) and product A380887(n) * 100^(n-1).

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%I A381187 #36 May 02 2025 10:33:41
%S A381187 1,200,200,150,175,200,125,160,175,184,125,125,160,165,184,125,125,
%T A381187 144,150,160,160,125,125,128,144,150,150,150,110,125,125,125,128,150,
%U A381187 150,176,125,125,125,125,128,128,132,150,150,120,120,125,125,125,125,128,128,150,150
%N A381187 Triangle T(n,k) read by rows whose n-th row is the lexicographically first n-tuple of ordered positive integers with sum A380887(n) and product A380887(n) * 100^(n-1).
%H A381187 David A. Corneth, <a href="/A381187/b381187.txt">Table of n, a(n) for n = 1..45150</a> (first 528 terms from Hugo Pfoertner and Markus Sigg)
%e A381187 Triangle begins:
%e A381187     1,
%e A381187   200, 200,
%e A381187   150, 175, 200,
%e A381187   125, 160, 175, 184,
%e A381187   125, 125, 160, 165, 184,
%e A381187   125, 125, 144, 150, 160, 160,
%e A381187   125, 125, 128, 144, 150, 150, 150,
%e A381187   110, 125, 125, 125, 128, 150, 150, 176,
%e A381187   125, 125, 125, 125, 128, 128, 132, 150, 150,
%e A381187   120, 120, 125, 125, 125, 125, 128, 128, 150, 150,
%e A381187   115, 122, 125, 125, 125, 125, 125, 125, 128, 128, 160,
%e A381187   104, 125, 125, 125, 125, 125, 125, 125, 128, 128, 128, 145,
%e A381187   ...
%e A381187 For n = 8 there are three 8-tuples with sum A380887(8) = 1089 and product 100^7 * 1089, namely (110, 125, 125, 125, 128, 150, 150, 176), (120, 125, 125, 125, 125, 128, 165, 176), (121, 125, 125, 125, 125, 128, 160, 180). The first of these is the lexicographically smallest and thus is row 8 of the triangle.
%Y A381187 Cf. A380887, A382547, A383026.
%K A381187 tabl,nonn
%O A381187 1,2
%A A381187 _Markus Sigg_, Feb 16 2025