A078145 Length of period of continued fraction for square root of 1+n!.

1, 2, 4, 0, 0, 40, 0, 153, 558, 3074, 4285, 22602, 180544, 766146, 766082, 524570, 9932193, 5193268, 763601450, 4284694240, 3059999982, 48742214702, 6354126960, 1975806716944, 929707144775

Offset

1,2

Links

Table of n, a(n) for n=1..25.

Formula

a(n) = A003285(A038507(n)). - Michel Marcus, Sep 25 2019

Example

Period for sqrt(3!+1) = sqrt(7) = {1,1,1,4}, a(3) = 4.

Mathematica

Table[Length[Last[ContinuedFraction[Sqrt[1+n! ]]]], {n, 1, 14}]

Crossrefs

Cf. A003285, A038507, A078146, A064025.

Sequence in context: A004025 A102561 A072068 * A348892 A327005 A300858

Adjacent sequences: A078142 A078143 A078144 * A078146 A078147 A078148

Keyword

nonn,hard,more

Author

Labos Elemer, Nov 25 2002

Extensions

a(15)-a(20) from Vaclav Kotesovec, Aug 28 2019

a(21) from Chai Wah Wu, Sep 23 2019

a(22)-a(23) from Chai Wah Wu, Sep 25 2019

a(24)-a(25) from Chai Wah Wu, Oct 01 2019

Status

approved