A143124 - OEIS

%I #3 Mar 03 2013 13:18:25

%S 1,3,2,5,4,2,8,7,5,3,11,10,8,6,3,15,14,12,10,7,4,19,18,16,14,11,8,4,

%T 23,22,20,18,15,12,8,4,28,27,25,23,20,17,13,9,5,33,32,30,28,25,22,

%U 1814,10,5,38,37,35,3330,27,23,19,15,10,5,44,43,41,39,36,33,29,25,21,16,11,6

%N Triangle read by rows, sum {j=k..n}, A001462(j), 1<=k<=n, A001462 = Golomb's sequence.

%C Right border of the triangle = Golomb's sequence, A014262.

%C Left border = A001463.

%C Row sums = A143125: (1, 5, 11, 23, 38, 62, 90, 122,...).

%F Triangle read by rows, T(n,k) = sum {j=k..n} A001462(j), 1<=k<=n; where A001462 = (1, 2, 2, 3, 3, 4, 4,...). A000012 * (A001462 * 0^(n-k)) * A000012

%e First few rows of the triangle =

%e 1;

%e 3, 2;

%e 5, 4, 2;

%e 8, 7, 5, 3;

%e 11, 10, 8, 6, 3;

%e 15, 14, 12, 10, 7, 4;

%e 19, 18, 16, 14, 11, 8, 4;

%e 23, 22, 20, 18, 15, 12, 8, 4;

%e 28, 27, 25, 23, 20, 17, 13, 9, 5;

%e ...

%e T(5,3) = 8 = (3 + 3 + 2) where Golomb's sequence = (1, 2, 2, 3, 3, 4, 4, 4,...).

%Y Cf. A001462, A001463, A143125.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_ & _Roger L. Bagula_, Jul 26 2008