A391705 - OEIS

%I #83 Feb 27 2026 14:33:19

%S 11,11,31,54,99,150,246,349,525,725,1014,1349,1821,2348,3058,3869,

%T 4899,6070,7539,9179,11197,13453,16152,19167,22738,26678,31290,36382,

%U 42250,48703,56091,64156,73321,83314,94549,106770,120444,135234,151697,169480,189132,210307

%N Number of plane partitions of n with 6 parts.

%H <a href="/index/Rec#order_21">Index entries for linear recurrences with constant coefficients</a>, signature (-1,-1,0,0,1,0,2,0,-1,-1,-1,-1,0,2,0,1,0,0,-1,-1,1).

%F G.f.: (q^17 + q^15 + 6*q^14 + 6*q^13 + 8*q^12 + 8*q^11 + 14*q^10 + 12*q^9 + 9*q^8 + 11*q^6)/(Product_{k=1..6} (1 - q^k)).

%o (PARI) A_q(N) = {my(q='q+O('q^(N))); Vec((q^17 + q^15 + 6*q^14 + 6*q^13 + 8*q^12 + 8*q^11 + 14*q^10 + 12*q^9 + 9*q^8 + 11*q^6)/prod(k=1,6,1-q^k))}

%Y Column k=6 of A091298.

%Y Cf. A000219, A392995.

%K nonn,easy

%O 6,1

%A _John Tyler Rascoe_, Feb 26 2026