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A090655 Decimal expansion of solution to n/x = x-n for n = 9. 1
9, 9, 0, 8, 3, 2, 6, 9, 1, 3, 1, 9, 5, 9, 8, 3, 9, 3, 9, 6, 7, 8, 8, 3, 1, 9, 0, 1, 2, 0, 5, 7, 4, 3, 9, 1, 9, 3, 7, 6, 9, 4, 4, 8, 6, 0, 7, 6, 7, 8, 6, 9, 3, 1, 9, 0, 6, 5, 6, 7, 9, 5, 8, 4, 3, 4, 0, 7, 5, 0, 4, 2, 2, 4, 3, 9, 5, 1, 5, 6, 6, 7, 8, 0, 6, 9, 2, 8, 6, 2, 3, 0, 2, 7, 7, 3, 6, 0, 7, 6, 5 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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 = 9: x = (9 + sqrt(117))/2 = 9.90832691319598...

CROSSREFS

Sequence in context: A176536 A021838 A199960 * A076115 A014726 A197503

Adjacent sequences:  A090652 A090653 A090654 * A090656 A090657 A090658

KEYWORD

easy,nonn,cons

AUTHOR

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

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.