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Triangle read by rows, A007318 * (A007476 * 0 ^(n-k))
1

%I #3 Mar 30 2012 17:25:33

%S 1,1,1,1,2,1,1,3,3,2,1,4,6,8,4,1,5,10,20,20,9,1,6,15,40,60,54,23,1,7,

%T 21,70,140,189,161,65,1,8,28,112,280,504,644,520,199,1,9,36,168,504,

%U 1134,1932,2340,1791,654,1,10,45,240,840,2268,4830,7800,8955,6540,2296

%N Triangle read by rows, A007318 * (A007476 * 0 ^(n-k))

%C Row sums = A007476 starting (1, 2, 4, 9, 23, 65, 199,...).

%F Triangle read by rows A007318 * (A007476 * 0^(n-k)) = binomial transform of an infinite lower triangular matrix with A007476 as the main diagonal: (1, 1, 1, 2, 4, 9, 23, 65, 199,...) and the rest zeros.

%e First few rows of the triangle =

%e 1;

%e 1, 1;

%e 1, 2, 1;

%e 1, 3, 3, 2;

%e 1, 4, 6, 8, 4;

%e 1, 5, 10, 20, 20, 9;

%e 1, 6, 15, 40, 60, 54, 23;

%e 1, 7, 21, 70, 140, 189, 161, 65;

%e 1, 8, 28, 112, 280, 504, 644, 520, 199;

%e 1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654;

%e 1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296;

%e ...

%Y Cf. A007476

%K nonn,tabl

%O 0,5

%A _Gary W. Adamson_, Jan 02 2009