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A135558 Sums of three distinct nonzero Fibonacci numbers. 3
6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 52, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 76, 77, 78, 79, 81, 84, 89, 90, 91, 92, 93, 94, 95 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

These numbers may have more than one such representation.

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..1000

Colm Mulcahy, Additional Certainties

MAPLE

isA135558 := proc(n) # returns true if n is in the sequence

    local xi, yi, x, y, z ;

    for xi from 2 do

        x := A000045(xi) ;

        if 3*x > n then

            return false;

        end if;

        for yi from xi+1 do

            y := A000045(yi) ;

            if x+2*y > n then

                break;

            else

                z := n-x-y ;

                if z >y and isA000045(z) then # see isFib in A000045

                    return true;

                end if;

            end if;

        end do:

    end do:

end proc:

A135558 := proc(n)

    option remember;

    local a;

    if n = 1 then

        6;

    else

        for a from procname(n-1)+1 do

            if isA135558(a) then

                return a;

            end if;

        end do:

    end if;

end proc: # R. J. Mathar, Sep 09 2015

CROSSREFS

Cf. A000045, A135709 (Complement).

Sequence in context: A190572 A182619 A210447 * A031951 A043610 A043695

Adjacent sequences:  A135555 A135556 A135557 * A135559 A135560 A135561

KEYWORD

nonn

AUTHOR

Colm Mulcahy, Feb 23 2008, Mar 02 2008

EXTENSIONS

More terms from N. J. A. Sloane, Mar 01 2008, corrected Mar 05 2008

STATUS

approved

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Last modified May 6 00:18 EDT 2016. Contains 272475 sequences.