A049380 - OEIS

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A049380

Expansion of (1-25*x)^(-2/5).

1, 10, 175, 3500, 74375, 1636250, 36815625, 841500000, 19459687500, 454059375000, 10670395312500, 252209343750000, 5989971914062500, 142837791796875000, 3417904303710937500, 82029703289062500000 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`G.f.: (1-25x)^(-2/5).` `a(n) = (5^n/n!) product[ k=0..n-1 ] (5k+2).` `a(n) ~ Gamma(2/5)^-1n^(-3/5)5^(2n){1 - 3/25n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001`
	EXAMPLE	`(1-x)^(-2/5) = 1 + 2/5x + 7/25x^2 + 28/125*x^3 + ...`
	CROSSREFS	`Cf. A034688, A049381, A049391, A049395, A049382.` `Sequence in context: A078516 A144516 A053537 * A200060 A057122 A113119` `Adjacent sequences: A049377 A049378 A049379 * A049381 A049382 A049383`
	KEYWORD	`nonn,easy`
	AUTHOR	`Joe Keane (jgk(AT)jgk.org)`

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Last modified February 17 15:57 EST 2012. Contains 206050 sequences.