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A025459 Number of partitions of n into 6 positive cubes. 2
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..107.

Index entries for sequences related to sums of cubes

FORMULA

a(n) = [x^n y^6] Product_{k>=1} 1/(1 - y*x^(k^3)). - Ilya Gutkovskiy, Apr 23 2019

MAPLE

A025459 := proc(n)

    local a, x, y, z, u, v, wcu ;

    a := 0 ;

    for x from 1 do

        if 6*x^3 > n then

            return a;

        end if;

        for y from x do

            if x^3+5*y^3 > n then

                break;

            end if;

            for z from y do

                if x^3+y^3+4*z^3 > n then

                    break;

                end if;

                for u from z do

                    if x^3+y^3+z^3+3*u^3 > n then

                        break;

                    end if;

                    for v from u do

                        if x^3+y^3+z^3+u^3+2*v^3 > n then

                            break;

                        end if;

                        wcu := n-x^3-y^3-z^3-u^3-v^3 ;

                        if isA000578(wcu) then

                            a := a+1 ;

                        end if;

                    end do:

                end do:

            end do:

        end do:

    end do:

end proc: # R. J. Mathar, Sep 15 2015

CROSSREFS

Cf. A048931 (in exactly 3 ways).

Sequence in context: A185708 A286996 A044937 * A079365 A037822 A144600

Adjacent sequences:  A025456 A025457 A025458 * A025460 A025461 A025462

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified December 8 12:07 EST 2019. Contains 329862 sequences. (Running on oeis4.)