A100863 - OEIS

A100863

Decimal expansion of the square of the constant (A100338) which has the continued fraction expansion equal to A006519 (highest power of 2 dividing n).

1, 8, 3, 2, 9, 6, 7, 0, 3, 2, 3, 9, 6, 0, 0, 3, 0, 5, 4, 4, 2, 7, 2, 1, 9, 5, 4, 4, 2, 1, 0, 4, 1, 7, 3, 2, 4, 0, 5, 7, 7, 1, 6, 5, 6, 3, 2, 2, 7, 2, 1, 6, 8, 9, 7, 7, 9, 8, 3, 8, 9, 7, 7, 8, 5, 5, 7, 1, 8, 7, 9, 9, 0, 0, 7, 9, 0, 4, 7, 9, 4, 0, 3, 0, 8, 2, 8, 7, 8, 8, 7, 7, 0, 2, 8, 0, 8, 9, 4, 6, 7, 9, 6, 5, 4

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OFFSET

1,2

COMMENTS

The continued fraction of this constant (A100864) has large partial quotients (A100865) that appear to be doubly exponential.

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

1.83296703239600305442721954421041732405771656322721689779838977855718799...

PROG

(PARI) {CFM=contfracpnqn(vector(1500, n, 2^valuation(n, 2))); x=(CFM[1, 1]/CFM[2, 1])^2*1.0}

CROSSREFS