A110155 - OEIS

A110155

G.f.: A(x) = Product_{n>=1} 1/(1 - 5^n*x^n)^(5/5^n).

1, 5, 30, 155, 855, 4305, 23255, 116705, 614655, 3108355, 16168430, 81136755, 422279580, 2116775030, 10893334980, 54857686305, 281413208380, 1410806289330, 7237582729155, 36262232611605, 185184341144805

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

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

Cf. A110152, A110153, A110154, A110156.

Sequence in context: A055298 A104891 A246937 * A122995 A254944 A003731

Adjacent sequences: A110152 A110153 A110154 * A110156 A110157 A110158

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 14 2005

STATUS

approved