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A090550 Decimal expansion of solution to n/x = x-n for n = 5. 3
5, 8, 5, 4, 1, 0, 1, 9, 6, 6, 2, 4, 9, 6, 8, 4, 5, 4, 4, 6, 1, 3, 7, 6, 0, 5, 0, 3, 0, 9, 6, 9, 1, 4, 3, 5, 3, 1, 6, 0, 9, 2, 7, 5, 3, 9, 4, 1, 7, 2, 8, 8, 5, 8, 6, 4, 0, 6, 3, 4, 5, 8, 6, 8, 1, 1, 5, 7, 8, 1, 3, 8, 8, 4, 5, 6, 7, 0, 7, 3, 4, 9, 1, 2, 1, 6, 2, 1, 6, 1, 2, 5, 6, 8, 1, 7, 3, 4, 1, 2, 4 (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 = 5: x = (5 + sqrt(45))/2 = 5.85410196624968454...

CROSSREFS

Sequence in context: A096413 A186691 A199057 * A171819 A171541 A178331

Adjacent sequences:  A090547 A090548 A090549 * A090551 A090552 A090553

KEYWORD

easy,nonn,cons

AUTHOR

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

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Last modified February 16 20:09 EST 2012. Contains 205958 sequences.