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A365105
Continued fraction expansion of 1/(2+3/(4+5/(6+7/(...)))) = A113014.
3
0, 2, 1, 1, 1, 2, 1, 2, 10, 2, 2, 66, 1, 1, 13, 66, 9, 5, 8, 1, 9, 1, 1, 1, 5, 2, 2, 3, 1, 1, 1, 16, 99, 6, 1, 5, 1, 2, 1, 55, 2, 2, 1, 1, 6, 4, 1, 1, 1, 40, 1, 1, 1, 6, 14, 7, 9, 1, 1, 2, 3, 2, 2, 2, 1, 1, 2, 7, 12, 1, 2, 2, 1, 4, 2, 4, 2, 1, 3, 2, 1, 10, 7, 1, 4, 1, 119, 1, 1, 1, 3, 5, 2, 12, 1
OFFSET
0,2
COMMENTS
A113014 is defined by a generalized continued fraction and the expansion here is its simple continued fraction.
EXAMPLE
1/(2+1/(1+1/(1+1/(1+1/(2+1/(...)))))) = 1/(2+3/(4+5/(6+7/(...)))).
MATHEMATICA
A365105 = ContinuedFraction[Sqrt[2*E/Pi]/Erfi[1/Sqrt[2]]-1, #]&;
CROSSREFS
Sequence in context: A165194 A002951 A331287 * A093993 A193073 A228100
KEYWORD
nonn,cofr
AUTHOR
Rok Cestnik, Aug 21 2023
STATUS
approved