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A077630
Sum of terms in periodic part of continued fraction expansion of square root of 1+3^n.
1
0, 6, 18, 18, 86, 54, 344, 162, 650, 486, 3246, 1458, 11542, 4374, 19196, 13122, 83672, 39366, 434242, 118098, 248278, 354294, 5669112, 1062882, 10522426, 3188646, 5969216, 9565938, 46110338, 28697814, 271512140, 86093442, 149401156, 258280326, 583061114, 774840978
OFFSET
1,2
COMMENTS
a(1) = 0 since 3^1+1=4 is a square and sqrt(4) = 2 has no periodic part in its continued fraction expansion. - Chai Wah Wu, Sep 17 2021
LINKS
MATHEMATICA
Table[Apply[Plus, Last[ContinuedFraction[Sqrt[1+3^u]]]], {u, 1, 25}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 13 2002
EXTENSIONS
a(1) corrected and a(26)-a(36) added by Chai Wah Wu, Sep 17 2021
STATUS
approved