login
Triangle read by rows: T(n,k), n>=1, k>=1, in which column k lists the partial sums of the column k of A237273 starting in row k^2.
1

%I #11 Feb 09 2014 14:26:47

%S 1,4,8,13,2,19,2,26,7,34,7,43,13,53,13,3,64,20,3,76,20,3,89,28,10,103,

%T 28,10,118,37,10,134,37,18,151,47,18,4,169,47,18,4,188,58,27,4,208,58,

%U 27,4,229,70,27,13,251,70,37,13,274,83,37,13,298,83,37,13,323,97,48,23,349,97,48,23,5

%N Triangle read by rows: T(n,k), n>=1, k>=1, in which column k lists the partial sums of the column k of A237273 starting in row k^2.

%C The sum of row n is A024916(n), the sum of all divisors of all positive integers <= n.

%C Row n has length A000196(n).

%C Column 1 is A034856.

%C Column 2 lists the elements of A155212 repeated.

%C Column 3 lists the elements of A051938 repeated with three copies of every element.

%C Column k contains k copies of every element.

%e Triangle begins:

%e 1;

%e 4;

%e 8;

%e 13, 2;

%e 19, 2;

%e 26, 7;

%e 34, 7;

%e 43, 13;

%e 53, 13, 3;

%e 64, 20, 3;

%e 76, 20, 3;

%e 89, 28, 10;

%e 103, 28, 10;

%e 118, 37, 10;

%e 134, 37, 18;

%e 151, 47, 18, 4;

%e 169, 47, 18, 4;

%e 188, 58, 27, 4;

%e 208, 58, 27, 4;

%e 229, 70, 27, 13;

%e 251, 70, 37, 13;

%e 274, 83, 37, 13;

%e 298, 83, 37, 13;

%e 323, 97, 48, 23;

%e 349, 97, 48, 23, 5;

%e ...

%Y Cf. A000203, A000196, A024916, A034856, A051938, A155212, A236104, A235791, A237273.

%K nonn,tabf

%O 1,2

%A _Omar E. Pol_, Feb 08 2014