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Square 'central binomial coefficients'-array read by antidiagonals
1

%I #5 Dec 10 2016 16:42:14

%S 1,1,1,2,2,2,6,6,4,4,20,20,14,8,8,70,70,50,30,16,16,252,252,182,112,

%T 62,32,32,924,924,672,420,238,126,64,64

%N Square 'central binomial coefficients'-array read by antidiagonals

%C Antidiagonals sum up to A000984.

%e Example with 0's added:

%e 0,1,1,2,4,8,..

%e 0,1,2,4,8,16,..

%e 0,2,6,14,30,..

%e Row 2 (binomial): 0+1=1,1+1=2,...

%e Row 3 (trinomial): 0+1+1=2,2+2+2=6,6+4+4=14...

%Y Cf. A000984, A011782, A009766, A007318.

%K nonn,tabl

%O 1,4

%A _Mark Dols_, Dec 15 2009