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Triangle read by rows, A000012 * A140207.
2

%I #8 May 29 2023 11:26:06

%S 1,2,1,3,2,2,4,3,4,3,5,4,6,6,5,6,5,8,9,10,7,7,6,10,12,15,14,11,8,7,12,

%T 15,20,21,22,15,9,8,14,18,25,28,33,30,22,10,9,16,21,30,35,44,45,44,30,

%U 11,10,18,24,35,42,55,60,66,60,42,12,11,20,27,40,49,66,75,88,90,84,56

%N Triangle read by rows, A000012 * A140207.

%C Right border = partition numbers, A000041.

%C Row sums = A014153: (1, 3, 7, 14, 26, 45, 75,...).

%F Triangle read by rows, A000012 * A140207; equivalent to taking partial sums of triangle A140207 terms, by columns.

%e First few rows of the triangle are:

%e 1;

%e 2, 1;

%e 3, 2, 2;

%e 4, 3, 4, 3;

%e 5, 4, 6, 6, 5;

%e 6, 5, 8, 9, 10, 7;

%e 7, 6, 10, 12, 15, 14, 11;

%e 8, 7, 12, 15, 20, 21, 22, 15;

%e 9, 8, 14, 18, 25, 28, 33, 30, 22;

%e 10, 9, 16, 21, 30, 35, 44, 45, 44, 30;

%e ...

%Y Cf. A000041, A014153, A140207.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_ & _Roger L. Bagula_, Jun 12 2008

%E a(60) split and more terms from _Georg Fischer_, May 29 2023