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A124925 In subsets of 3 terms, 2-nd degree polys solving for (n + phi). +0
1
1, 3, 1, 1, 5, 5, 1, 7, 11, 1, 9, 19, 1, 11, 29, 1, 13, 41, 1, 15, 55, 1, 17, 71, 1, 19, 89 (list; graph; listen)
OFFSET

1,2

FORMULA

Subsets of 3 terms: (1, (2n+1), A028387(n+1)), where A028387 = (1, 5, 11, 19, 29, 41...).

EXAMPLE

Using alternate signs, (x^2 - 3x + 1) solves for 1 + 1.6180339...; x^2 - 5x + 5 solves for 2 + phi...; generally, n-th subset solves for n + phi as a root to a 2-nd degree polynomial.

CROSSREFS

Sequence in context: A125690 A108553 A158418 this_sequence A073145 A145033 A076756

Adjacent sequences: A124922 A124923 A124924 this_sequence A124926 A124927 A124928

KEYWORD

nonn,uned

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 12 2006

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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