Number of words of numbers x(1), ..., x(n), in 0..3 such that Sum_{i=1..n} i*x(i)^3 = 27*n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =7a(5) =19a(6) =39a(7) =120a(8) =411a(9) =1310a(10) =3862a(11) =11059a(12) =31849a(13) =89615a(14) =247305a(15) =674579a(16) =1812940a(17) =4806211a(18) =12576930a(19) =32509641a(20) =83052304a(21) =209808493a(22) =524424707a(23) =1297623584a(24) =3179903180a(25) =7721053410a(26) =18582920108a(27) =44349211490a(28) =104989527861a(29) =246624184465