A100485 Decimal expansion of: (1) a simple-continued-fraction-like nesting in which all "partial quotients" are Khinchin's constant (A002210), or, equivalently, (2) the positive solution p of the polynomial p^2 - Khinchin*p - 1 = 0.

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

Offset

1,1

Links

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

Formula

(Khinchin + (4+Khinchin*Khinchin)^(1/2))/2

Example

3.016916286165207794242 437240471558379172667 864562044748908962043 759189468942531844688 22650236967025258672...

Mathematica

N[FromContinuedFraction[{{Khinchin}}], 105]

Crossrefs

Cf. A002210.

Sequence in context: A212880 A211510 A243984 * A143397 A341856 A339350

Adjacent sequences: A100482 A100483 A100484 * A100486 A100487 A100488

Keyword

cons,nonn

Author

Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 22 2004

Status

approved