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A130601
Integers written in base phi, with the "decimal point" omitted.
6
1, 111, 1101, 10101, 1011111, 1110111, 10101101, 10111101, 11011101, 11110101, 101010101, 10101111111, 10111011111, 11010110111, 11011110111, 11101110111, 11111010111, 101010101101, 101011101101, 101101101101
OFFSET
1,2
COMMENTS
The map 100 -> 011 is used to eliminate every 100 from the minimal representation (A130600).
Other sequences are possible for representing integers in base-phi with no occurrence of "00" in any terms - see links.
LINKS
L. C. Eggan, C. L. Vanden Eynden, "Decimal" expansions to nonintegral bases, Am. Math. Monthly 73 (6) (1966) 576-582
EXAMPLE
Examples: a(2)=111 because phi^0+phi^-1+phi^-2 = 2, a(3) = 1101 because phi^1+phi^0+phi^-2 = 3, a(4) = 10101 because phi^2+phi^0+phi^-2 = 4.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Casey Mongoven, Aug 06 2007
STATUS
approved