a(n) = (2*n+23)*n*(n-1), a coefficient appearing in the formula a(n)*Pi/324+n+1 giving the average number of regions into which n random planes divide the cube.

A248598

a(n) = (2*n+23)*n*(n-1), a coefficient appearing in the formula a(n)*Pi/324+n+1 giving the average number of regions into which n random planes divide the cube.

Terms

    a(0) =0a(1) =0a(2) =54a(3) =174a(4) =372a(5) =660a(6) =1050a(7) =1554a(8) =2184a(9) =2952a(10) =3870a(11) =4950a(12) =6204a(13) =7644a(14) =9282a(15) =11130a(16) =13200a(17) =15504a(18) =18054a(19) =20862a(20) =23940a(21) =27300a(22) =30954a(23) =34914a(24) =39192a(25) =43800a(26) =48750a(27) =54054a(28) =59724a(29) =65772

External references