a(n) is the number of ways to partition n X n X n cube into five distinct cuboids with three full-length axial spanning parts sharing only two cube corners each.

A384511

a(n) is the number of ways to partition n X n X n cube into five distinct cuboids with three full-length axial spanning parts sharing only two cube corners each.

Terms

    a(0) =0a(1) =0a(2) =1a(3) =3a(4) =10a(5) =18a(6) =35a(7) =53a(8) =84a(9) =116a(10) =165a(11) =215a(12) =286a(13) =358a(14) =455a(15) =553a(16) =680a(17) =808a(18) =969a(19) =1131a(20) =1330a(21) =1530a(22) =1771a(23) =2013a(24) =2300a(25) =2588a(26) =2925a(27) =3263a(28) =3654a(29) =4046

External references