Number of ways to write the numbers 1 through 3n on the faces of three n-sided dice, so that the 1st die beats the 2nd with probability > 1/2, the 2nd beats the 3rd with probability > 1/2 and the 3rd beats the 1st with probability > 1/2, and the first die contains the number 1.

A121228

Number of ways to write the numbers 1 through 3n on the faces of three n-sided dice, so that the 1st die beats the 2nd with probability > 1/2, the 2nd beats the 3rd with probability > 1/2 and the 3rd beats the 1st with probability > 1/2, and the first die contains the number 1.

Terms

    a(0) =0a(1) =0a(2) =5a(3) =13a(4) =1732a(5) =10705a(6) =697733a(7) =6539451a(8) =320055263a(9) =3757649717a(10) =159846296757

External references