A218088 a(n) is the largest term in period of continued fraction expansion of square root of n!.

2, 4, 8, 20, 52, 140, 400, 1204, 3808, 12634, 43772, 157822, 590518, 2287070, 9148286, 37719354, 160029668, 697553152, 3119552536, 14295585636, 67052240164, 321571247090, 1575370942644, 7876854713228, 40164235888490, 208699491618146, 1104333907134456, 5947020092025820

Offset: 2

Author

Arkadiusz Wesolowski, Oct 20 2012

Keywords

• nonn

Links

• Chai Wah Wu, Table of n, a(n) for n = 2..30

Crossrefs

Cf. A078160.

Programs

Mathematica

Table[Max@ContinuedFraction[n!^(1/2)], {n, 2, 24}]

Extensions

a(25)-a(29) from Chai Wah Wu, Sep 17 2021