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Row square-sums of triangle A210658.
1

%I #10 Oct 15 2024 23:16:54

%S 1,5,29,219,2011,20911,235543,2801821,34667941,441977129,5768828529,

%T 76743400197,1037119411309,14202556969109,196703352545189,

%U 2751033268619879,38804220883714919,551466071408325299,7889476725800450699,113542652361590443679

%N Row square-sums of triangle A210658.

%F a(n) = Sum_{k=0..n} (Sum_{i=k..n} A000108(i))^2.

%t Table[Sum[Sum[Binomial[2i,i]/(i+1),{i,k,n}]^2,{k,0,n}],{n,0,40}]

%o (Maxima) makelist(sum(sum(binomial(2*i,i)/(i+1),i,k,n)^2,k,0,n),n,0,20);

%Y Cf. A000108, A210658.

%K nonn

%O 0,2

%A _Emanuele Munarini_, Apr 06 2012