A049381 - OEIS

This site is supported by donations to The OEIS Foundation.

A049381

Expansion of (1-25*x)^(-3/5).

1, 15, 300, 6500, 146250, 3363750, 78487500, 1850062500, 43938984375, 1049653515625, 25191684375000, 606890578125000, 14666522304687500, 355381117382812500, 8630684279296875000, 210013317462890625000 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`G.f.: (1-25x)^(-3/5).` `a(n) = (5^n/n!) product[ k=0..n-1 ] (5k+3).` `a(n) ~ Gamma(3/5)^-1n^(-2/5)5^(2n){1 - 3/25n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001`
	EXAMPLE	`(1-x)^(-3/5) = 1 + 3/5x + 12/25x^2 + 52/125*x^3 + ...`
	CROSSREFS	`Cf. A049382, A049392, A049396, A049380, A049382.` `Sequence in context: A201341 A144349 A009064 * A051691 A135390 A105491` `Adjacent sequences: A049378 A049379 A049380 * A049382 A049383 A049384`
	KEYWORD	`nonn,easy`
	AUTHOR	`Joe Keane (jgk(AT)jgk.org)`

Content is available under The OEIS End-User License Agreement .

Last modified February 16 17:48 EST 2012. Contains 205939 sequences.