A086796 a(n) is the number of terms in the expansion of (x+y+z)*(x^2+y^2+z^2)*(x^3+y^3+z^3)*...*(x^n+y^n+z^n).

3, 9, 24, 60, 130, 247, 429, 697, 1075, 1590, 2272, 3154, 4272, 5665, 7375, 9447, 11929, 14872, 18330, 22360, 27022, 32379, 38497, 45445, 53295, 62122, 72004, 83022, 95260, 108805, 123747, 140179

Offset

1,1

Links

Table of n, a(n) for n=1..32.

Maple

A086796 := proc(n)
    mul( x^i+y^i+z^i, i=1..n) ;
    expand(%) ;
    nops([coeffs(%)]) ;
end proc: # R. J. Mathar, Sep 15 2012

Mathematica

Table[Length[Expand[Times@@Table[Total[{x, y, z}^n], {n, m}]]], {m, 40}] (* Harvey P. Dale, Sep 04 2018 *)

Crossrefs

Cf. A000124.

Sequence in context: A109175 A120539 A357718 * A034330 A264685 A320731

Adjacent sequences: A086793 A086794 A086795 * A086797 A086798 A086799

Keyword

nonn

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 05 2003

Status

approved