A259985 Triangle read by rows: coefficients of rook polynomials.
1, 1, 1, 1, 4, 2, 1, 9, 18, 6, 1, 16, 72, 96, 24, 1, 20, 130, 320, 265, 44, 1, 24, 204, 752, 1185, 672, 80, 1, 28, 294, 1456, 3521, 3892, 1617, 144, 1, 32, 400, 2496, 8264, 14272, 11776, 3776, 264, 1, 36, 522, 3936, 16659, 39924, 52071, 33480, 8577, 484, 1, 40, 660, 5840, 30210, 93568, 171060, 175360, 90745, 19080, 888, 1, 44, 814, 8272, 50677, 193556, 461208, 667832, 554532, 236808, 41745, 1632
Offset: 0
Examples
Triangle begins: 1; 1, 1; 1, 4, 2; 1, 9, 18, 6; 1, 16, 72, 96, 24; 1, 20, 130, 320, 265, 44; 1, 24, 204, 752, 1185, 672, 80; 1, 28, 294, 1456, 3521, 3892, 1617, 144; 1, 32, 400, 2496, 8264, 14272, 11776, 3776, 264; 1, 36, 522, 3936, 16659, 39924, 52071, 33480, 8577, 484; 1, 40, 660, 5840, 30210, 93568, 171060, 175360, 90745, 19080, 888; ...
Links
- Earl Glen Whitehead, Jr., Four-discordant permutations, J. Austral. Math. Soc. Ser. A 28 (1979), no. 3, 369-377.
- Earl Glen Whitehead, Jr., Four-discordant permutations (Table 1) (Annotated scanned table)