A022422 Kim-sums: "Kimberling sums" K_n + K_11.

10, 28, 31, 12, 36, 39, 41, 44, 17, 49, 52, 54, 57, 60, 62, 65, 25, 70, 73, 75, 78, 30, 83, 86, 33, 91, 94, 96, 99, 38, 104, 107, 109, 112, 115, 117, 120, 46, 125, 128, 130, 133, 51, 138, 141, 143, 146, 149, 151, 154, 59, 159, 162, 164, 167, 64, 172, 175, 67

Offset

0,1

References

Posting to math-fun mailing list Jan 10 1997.

Links

Table of n, a(n) for n=0..58.

Maple

Ki := proc(n, i)
    option remember;
    local phi ;
    phi := (1+sqrt(5))/2 ;
    if i= 0 then
        n;
    elif i=1 then
        floor((n+1)*phi) ;
    else
        procname(n, i-1)+procname(n, i-2) ;
    end if;
end proc:
Kisum := proc(n, m)
    local ks, a, i;
    ks := [seq( Ki(n, i)+Ki(m, i), i=0..5)] ;
    for i from 0 to 2 do
        for a from 0 do
            if Ki(a, 0) = ks[i+1] and Ki(a, 1) = ks[i+2] then
                return a;
            end if;
            if Ki(a, 0) > ks[i+1] then
                break;
            end if;
        end do:
    end do:
end proc:
A022422 := proc(n)
    if n = 0 then
        10;
    else
        Kisum(n-1, 10) ;
    end if;
end proc:
seq(A022422(n), n=0..80) ; # R. J. Mathar, Sep 03 2016

Crossrefs

Sequence in context: A184686 A251326 A363133 * A113962 A031105 A356456

Adjacent sequences: A022419 A022420 A022421 * A022423 A022424 A022425

Keyword

nonn

Author

Marc LeBrun

Status

approved