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A092290 Decimal expansion of solution to n/x = x-n for n = 7. +0
2
7, 8, 8, 7, 4, 8, 2, 1, 9, 3, 6, 9, 6, 0, 6, 1, 0, 3, 0, 2, 0, 3, 1, 9, 4, 1, 5, 3, 7, 0, 8, 1, 5, 4, 7, 8, 0, 4, 3, 7, 9, 3, 8, 4, 1, 3, 7, 7, 7, 2, 5, 1, 7, 9, 5, 4, 6, 3, 8, 4, 7, 8, 1, 4, 8, 9, 1, 3, 8, 2, 3, 2, 3, 1, 0, 9, 6, 5, 3, 1, 4, 0, 8, 3, 7, 8, 4, 6, 5, 7, 8, 5, 3, 4, 3, 5, 2, 8, 7, 7, 9 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

n/x = x-n with n=1 gives the Golden Ratio = 1.6180339887...

FORMULA

n/x = x-n ==> x^2 - n*x - n = 0 ==> x = (n + sqrt(n^2 + 4*n)) / 2 (Positive Root) n = 7: x = (7 + sqrt(77))/2 = 7.88748219369606...

CROSSREFS

Adjacent sequences: A092287 A092288 A092289 this_sequence A092291 A092292 A092293

Sequence in context: A019861 A065470 A085361 this_sequence A099987 A021563 A114514

KEYWORD

easy,nonn,cons

AUTHOR

Felix Tubiana (fat2(AT)columbia.edu), Feb 05 2004

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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