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

2,1

Links

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

Mathematica

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

Crossrefs

Cf. A078160.

Sequence in context: A275070 A115219 A078160 * A222320 A089976 A000980

Adjacent sequences: A218085 A218086 A218087 * A218089 A218090 A218091

Keyword

nonn

Author

Arkadiusz Wesolowski, Oct 20 2012

Extensions

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

Status

approved