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A110155
G.f.: A(x) = Product_{n>=1} 1/(1 - 5^n*x^n)^(5/5^n).
4
1, 5, 30, 155, 855, 4305, 23255, 116705, 614655, 3108355, 16168430, 81136755, 422279580, 2116775030, 10893334980, 54857686305, 281413208380, 1410806289330, 7237582729155, 36262232611605, 185184341144805
OFFSET
0,2
EXAMPLE
A(x) = 1 + 5*x + 30*x^2 + 155*x^3 + 855*x^4 + 4305*x^5 +... =
1/[(1-5*x)*(1-25*x^2)^(1/5)*(1-125*x^3)^(1/25)*(1-625*x^4)^(1/125)*...]
PROG
(PARI) a(n)=polcoeff(prod(k=1, n, 1/(1-5^k*x^k+x*O(x^n))^(5/5^k)), n)
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 14 2005
STATUS
approved