id:A128524 - OEIS Search Results

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a(n) = denominator of r(n): r(n) is such that the continued fraction (of rational terms) [r(1);r(2),...r(n)] equals n! for every positive integer n.

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1, 1, 4, 9, 128, 675, 2048, 3675, 262144, 3472875, 8388608, 151278435, 268435456, 6249480237, 4294967296, 124351902675, 2199023255552, 15401871374175, 140737488355328, 5834647198969875, 4503599627370496 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`Diana Mecum, Table of n, a(n) for n = 1..100` `Leroy Quet, Home Page (listed in lieu of email address)`
	FORMULA	`For n >= 4, r(n) = -(n - 1/(n-1)) *(n + 1/(n-3)) /(r(n-1) (n-1)).`
	EXAMPLE	`4! = 24 = 1 + 1/(1 + 1/(-5/4 + 9/44)).` `5! = 120 = 1 + 1/(1 + 1/(-5/4 + 1/(44/9 -128/171))).`
	CROSSREFS	`Cf. A000142, A128523.` `Sequence in context: A048411 A065379 A063783 this_sequence A027451 A035127 A061267` `Adjacent sequences: A128521 A128522 A128523 this_sequence A128525 A128526 A128527`
	KEYWORD	`frac,nonn`
	AUTHOR	`Leroy Quet Mar 07 2007`
	EXTENSIONS	`More terms from Diana Mecum (diana.mecum(AT)gmail.com), May 29 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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