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A100485
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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.
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1
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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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| (Khinchin + (4+Khinchin*Khinchin)^(1/2))/2
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EXAMPLE
| 3.016916286165207794242 437240471558379172667 864562044748908962043 759189468942531844688 22650236967025258672...
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MATHEMATICA
| N[FromContinuedFraction[{{Khinchin}}], 105]
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CROSSREFS
| Cf. A002210.
Sequence in context: A129684 A105147 A111924 * A143397 A137680 A201663
Adjacent sequences: A100482 A100483 A100484 * A100486 A100487 A100488
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KEYWORD
| cons,nonn
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AUTHOR
| Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 22 2004
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