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Triangle, A124928 + A134059 - A007318.
1

%I #8 Mar 25 2022 03:04:51

%S 1,3,5,3,10,5,3,15,15,5,3,20,30,20,5,3,25,50,50,25,5,3,30,75,100,75,

%T 30,5,3,35,105,175,175,105,35,5,3,40,140,280,350,280,140,40,5,3,45,

%U 180,420,630,630,420,180,45,5

%N Triangle, A124928 + A134059 - A007318.

%C Row sums = A134062: (1, 8, 18, 38, 78, 158, ...).

%F Triangle, A124928 + A134059 - A007318 as infinite lower triangular matrices. T(n,k) = 5*binomial(n,k) if k > 0, (0 <= k <= n), with leftmost column = (1,3,3,3,...).

%e First few rows of the triangle:

%e 1;

%e 3, 5;

%e 3, 10, 5;

%e 3, 15, 15, 5;

%e 3, 20, 30, 20, 5;

%e 3, 25, 50, 50, 25, 5;

%e ...

%Y Cf. A124928, A134059, A134062.

%K nonn,tabl,more

%O 0,2

%A _Gary W. Adamson_, Oct 05 2007