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%I #27 Feb 29 2020 09:52:14
%S 1,1,4,4,1,4,10,12,9,1,4,10,20,25,24,16,1,4,10,20,35,44,46,40,25,1,4,
%T 10,20,35,56,70,76,73,60,36,1,4,10,20,35,56,84,104,115,116,106,84,49,
%U 1,4,10,20,35,56,84,120,147,164,170,164,145,112,64
%N Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2*x+...+(n+1)*x^n)^2.
%H Seiichi Manyama, <a href="/A329708/b329708.txt">Rows n = 0..99, flattened</a>
%F T(n,k) = A000292(k+1) for k=0..n.
%e Triangle begins:
%e 1;
%e 1, 4, 4;
%e 1, 4, 10, 12, 9;
%e 1, 4, 10, 20, 25, 24, 16;
%e 1, 4, 10, 20, 35, 44, 46, 40, 25;
%o (PARI) for(n=0, 10, print(Vecrev(sum(k=0, n, (k+1)*x^k)^2), ", "))
%Y Cf. A000292, A002260, A084608, A329709.
%K nonn,tabf
%O 0,3
%A _Seiichi Manyama_, Feb 29 2020
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