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A171698 Square 'central binomial coefficients'-array read by antidiagonals.

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%I A171698 #7 Jul 22 2025 07:32:01
%S A171698 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 A171698 62,32,32,924,924,672,420,238,126,64,64
%N A171698 Square 'central binomial coefficients'-array read by antidiagonals.
%C A171698 Antidiagonals sum up to A000984.
%e A171698 Example with 0's added:
%e A171698 0,1,1,2,4,8,..
%e A171698 0,1,2,4,8,16,..
%e A171698 0,2,6,14,30,..
%e A171698 Row 2 (binomial): 0+1=1,1+1=2,...
%e A171698 Row 3 (trinomial): 0+1+1=2,2+2+2=6,6+4+4=14...
%Y A171698 Cf. A000984, A011782, A009766, A007318.
%K A171698 nonn,tabl
%O A171698 1,4
%A A171698 _Mark Dols_, Dec 15 2009