A068348 Number of partitions of A066926(n) into x_i parts.

1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 6, 2, 3, 9, 1, 2, 8, 5, 3, 6, 7, 8, 71, 1, 5, 4, 55, 4, 4, 4, 33, 3, 81, 1, 295, 42, 3, 5, 2, 4, 101, 122, 21, 11, 4, 5, 1442, 3, 457, 8, 89, 164, 6, 1, 526, 3, 676, 1, 7, 4, 333, 1, 1, 85, 1, 91, 139, 2504, 17, 4, 2, 50

Offset

1,9

Links

Giovanni Resta, Table of n, a(n) for n = 1..200

Example

a(9) = 2 because 36 = 6+6+6+6+6+6 = 3+3+6+12+12 has two partitions into a set of x_i.
a(10) = 3 because 40 = 4+4+8+8+8+8 = 4+5+5+8+8+10 = 5+5+5+5+10+10 has three partitions of that kind. - R. J. Mathar, Jul 12 2013

Maple

A068348 := proc(n)
    local a, p, xi, rep ;
    a := 0 ;
    for p in combinat[partition](n) do
        rep := true ;
        for xi in p do
            if not type(n/xi, 'integer') then
                rep := false;
            end if;
        end do:
        if rep then
            q := n*add(1/xi, xi=p) ;
            if q =n then
                a := a+1 ;
            end if;
        end if;
    end do:
    a ;
end proc:
for n from 1 do
    isA068348 := A068348(n) ;
    if isA068348 > 0 then
        print(isA068348) ;
    end if:
end do: # R. J. Mathar, Jul 12 2013

Crossrefs

Sequence in context: A182933 A342673 A365463 * A308290 A204167 A217897

Adjacent sequences: A068345 A068346 A068347 * A068349 A068350 A068351

Keyword

nonn

Author

Naohiro Nomoto, Feb 28 2002

Extensions

a(18)-a(74) from Giovanni Resta, Feb 23 2014

Status

approved