A387998 - OEIS

%I #15 Oct 21 2025 18:48:15

%S 8,8,25,44,77,115,182,257,370,497,672,872,1136,1427,1797,2214,2718,

%T 3280,3954,4695,5567,6523,7628,8838,10219,11717,13412,15252,17307,

%U 19524,21991,24640,27566,30701,34137,37813,41823,46093,50733,55667,60999,66653,72748,79195

%N One third the number of solid partitions of n with 5 parts.

%H <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,0,0,-1,-1,-1,1,1,1,0,0,-1,-1,1).

%F G.f.: (q^12 + 6*q^11 + 2*q^10 + 8*q^9 + 11*q^8 + 9*q^7 + 8*q^5)/((1-q) * (1-q^2) * (1-q^3) * (1-q^4) * (1-q^5)).

%o (PARI)

%o A_q(N) = {Vec((q^12 + 6*q^11 + 2*q^10 + 8*q^9 + 11*q^8 + 9*q^7 + 8*q^5)/((1-q) * (1-q^2) * (1-q^3) * (1-q^4) * (1-q^5)) + O('q^(N+1)))}

%Y 3*a(n) is column k=5 of A380893.

%Y Cf. A000219, A000293, A002836, A207542, A379277.

%K nonn,easy

%O 5,1

%A _John Tyler Rascoe_, Oct 13 2025