Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.
A008302
Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =1a(7) =1a(8) =3a(9) =5a(10) =6a(11) =5a(12) =3a(13) =1a(14) =1a(15) =4a(16) =9a(17) =15a(18) =20a(19) =22a(20) =20a(21) =15a(22) =9a(23) =4a(24) =1a(25) =1a(26) =5a(27) =14a(28) =29a(29) =49
External references
- oeis: A008302