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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 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 STATUS approved

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