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PROG
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(PARI) {a(n, q=2, m=1, b=3) =( m*q^n + b)^n}
for(n=0, 15, print1(a(n, q=2, m=1, b=3), ", "))
(PARI) {a(n, q=2, m=1, b=3) = sum(k=0, n, binomial(n, k) * b^k * m^(n-k) * (q^n)^(n-k))}
for(n=0, 15, print1(a(n, q=2, m=1, b=3), ", "))
(PARI) {a(n, q=2, m=1, b=3) = n!*polcoeff(sum(k=0, n, m^k * q^(k^2) * exp(b*q^k*x +x*O(x^n)) * x^k/k!), n)}
for(n=0, 15, print1(a(n, q=2, m=1, b=3), ", "))
(PARI) {a(n, q=2, m=1, b=3) = polcoeff(sum(k=0, n, m^k * q^(k^2) * x^k / (1 - b*q^k*x +x*O(x^n))^(k+1) ), n)}
for(n=0, 15, print1(a(n, q=2, m=1, b=3), ", "))
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