

A187278


The radical part of the expression whose continued fraction has periodic part 1..n.


1



5, 3, 37, 156, 65029, 66736, 29964677, 121445910, 635918528029, 640952674263, 1951254635768065, 7846010029748338, 191780091068145774653, 192496359548972143176, 2129087866550404672890001, 2135029389612694590809079, 633378381185791927931233429813, 70527645518718791726538220475
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OFFSET

1,1


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..252


EXAMPLE

a(1) = 5 because the cf of (1+sqrt(5))/2 is {0, {1}}, that part in the second parenthesis is reoccurring,
a(2) = 3 because the cf of 1 + Sqrt(3) is {0, {1, 2}},
a(3) = 37 because the cf of (4+Sqrt(37))/3 is {0, {1, 2, 3}}, etc.


MATHEMATICA

f[n_] := (FromContinuedFraction[{0, Range@ n}][[1, 1]])^2; Array[ f, 16]


CROSSREFS

Sequence in context: A279066 A179210 A291843 * A288184 A323779 A027858
Adjacent sequences: A187275 A187276 A187277 * A187279 A187280 A187281


KEYWORD

nonn


AUTHOR

Robert G. Wilson v, Mar 07 2011


STATUS

approved



