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A128524 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. 2
1, 1, 4, 9, 128, 675, 2048, 3675, 262144, 3472875, 8388608, 151278435, 268435456, 6249480237, 4294967296, 124351902675, 2199023255552, 15401871374175, 140737488355328, 5834647198969875, 4503599627370496 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Diana Mecum, Table of n, a(n) for n = 1..100

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: A168138 A267898 A324981 * A027451 A227744 A035127

Adjacent sequences:  A128521 A128522 A128523 * A128525 A128526 A128527

KEYWORD

frac,nonn

AUTHOR

Leroy Quet, Mar 07 2007

EXTENSIONS

More terms from Diana L. Mecum, May 29 2007

STATUS

approved

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Last modified December 7 22:29 EST 2019. Contains 329850 sequences. (Running on oeis4.)