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PROG
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(PARI) {a(n)=polcoeff(sum(m=1, n+1, (2*(1+x)^m - 1) * ((1+x)^m - 1 +x*O(x^n))^(m-1)), n)}
for(n=0, 20, print1(a(n), ", "))
(PARI) /* As Row Sums of Triangle A220265: */
{A220265(n, k)=polcoeff((2*(1+x)^n-1)*((1+x)^n-1)^(n-1)/x^(n-1), k)}
{a(n)=sum(k=0, n, A220265(n-k+1, k))}
for(n=0, 20, print1(a(n), ", "))
(PARI) {a(n)=polcoeff(1+sum(m=1, n\2+1, 2*(2*(1+x)^(2*m) - 1) * ((1+x)^(2*m) - 1 +x*O(x^n))^(2*m-1)), n)}
for(n=0, 20, print1(a(n), ", "))
(PARI) {a(n)=polcoeff(-1+sum(m=0, n\2, 2*(2*(1+x)^(2*m+1) - 1) * ((1+x)^(2*m+1) - 1 +x*O(x^n))^(2*m)), n)}
for(n=0, 20, print1(a(n), ", "))
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