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A345236 Triangle read by rows: The rightmost column contains the terms of A002262 starting at A002262(1). Each time a column's value is zero (except for a(0)), the column to its left starts at the next term in A002262, or if that column does not yet exist, it starts at A002262(2).

%I A345236 #58 Jan 05 2022 05:20:34
%S A345236 0,1,1,0,1,1,1,2,1,0,0,1,0,1,1,0,2,1,0,3,1,1,0,1,1,1,1,1,2,1,1,3,1,1,
%T A345236 4,1,2,0,1,2,1,1,2,2,1,2,3,1,2,4,1,2,5,1,0,0,0,1,0,0,1,1,0,0,2,1,0,0,
%U A345236 3,1,0,0,4,1,0,0,5,1,0,0,6,1,0,1,0,1,0,1,1,1,0,1,2,1,0,1,3
%N A345236 Triangle read by rows: The rightmost column contains the terms of A002262 starting at A002262(1). Each time a column's value is zero (except for a(0)), the column to its left starts at the next term in A002262, or if that column does not yet exist, it starts at A002262(2).
%C A345236 The first row with k columns is the A006893(k)-th. The last row with k columns comprises the first k terms of A006893.
%H A345236 John-Vincent Saddic, <a href="/A345236/a345236.java.txt">Java code to print the n-th row of the triangle</a>
%F A345236 To calculate the values of the n-th row:
%F A345236 c(m) = floor((sqrt(9 + 8*m) - 3)/2) = A052146(m+1).
%F A345236 r(m) = m - (c(m)^2)/2 - 3*c(m)/2 = A002262(m+1).
%F A345236 The last value of row m is r(m), the second to last value is r(c(m)), the third to last value is r(c(c(m))), and so on until c(m) equals 0.
%e A345236 Triangle begins as:
%e A345236   0
%e A345236   1
%e A345236   1 0
%e A345236   1 1
%e A345236   1 2
%e A345236   1 0 0
%e A345236   1 0 1
%e A345236   1 0 2
%e A345236   1 0 3
%e A345236   1 1 0
%o A345236 (Java) See Links. Rows are printed with values concatenated. Values greater than 10 are represented between parentheses, e.g., row 100 is 113(10).
%Y A345236 Cf. A002262, A052146.
%Y A345236 First row with n values: A006893(n).
%K A345236 nonn,tabf
%O A345236 0,8
%A A345236 _John-Vincent Saddic_, Jul 14 2021