A049382 - OEIS

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A049382

Expansion of (1-25*x)^(-4/5).

1, 20, 450, 10500, 249375, 5985000, 144637500, 3512625000, 85620234375, 2092939062500, 51277007031250, 1258617445312500, 30941012197265625, 761624915625000000, 18768613992187500000, 462959145140625000000 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`G.f.: (1-25x)^(-4/5).` `a(n) = (5^n/n!) product[ k=0..n-1 ] (5k+4).` `a(n) ~ Gamma(4/5)^-1n^(-1/5)5^(2n){1 - 2/25n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001`
	EXAMPLE	`(1-x)^(-4/5) = 1 + 4/5x + 18/25x^2 + 84/125*x^3 + ...`
	CROSSREFS	`Cf. A008546, A049393, A049397, A049381.` `Sequence in context: A190922 A099278 A111158 * A065412 A159753 A000827` `Adjacent sequences: A049379 A049380 A049381 * A049383 A049384 A049385`
	KEYWORD	`nonn,easy`
	AUTHOR	`Joe Keane (jgk(AT)jgk.org)`

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.