A049394 Expansion of (1-25*x)^(-6/5).

1, 30, 825, 22000, 577500, 15015000, 387887500, 9974250000, 255590156250, 6531748437500, 166559585156250, 4239698531250000, 107759004335937500, 2735420879296875000, 69362458010742187500, 1757182269605468750000

Offset: 0

Author

Joe Keane (jgk(AT)jgk.org)

Keywords

• nonn
• easy

Examples

			(1-x)^(-6/5) = 1 + 6/5*x + 33/25*x^2 + 176/125*x^3 + ...
		

Crossrefs

Cf. A034688.

Programs

Mathematica

CoefficientList[Series[(1-25*x)^(-6/5), {x, 0, 15}], x] (* Georg Fischer, Jan 16 2020 *)

Formula

G.f.: (1-25*x)^(-6/5).

a(n) = (5^n/n!) * Product_{k=0..n-1} (5*k+6).

a(n) ~ 5*Gamma(1/5)^-1*n^(1/5)*5^(2*n)*{1 + 3/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

Extensions

Definition corrected by Georg Fischer, Jan 16 2020