A131529
Number of permutations of {1,2,...n} for which differences of adjacent numbers are all distinct.
Original entry on oeis.org
1, 2, 4, 12, 44, 176, 788, 3936, 23264, 152112, 1104876, 8725320, 74715908, 687915040, 6782261964, 71294227456, 796138700016, 9409401651840, 117378774461812
Offset: 1
A206477
(Number of permutations of {1,2,...,n} for which sums of three consecutive numbers (with wraparound) are all distinct)/2n.
Original entry on oeis.org
3, 3, 36, 76, 690, 2996, 22368, 147472, 1284653, 11006509
Offset: 4
a(4)=3 because up to rotation/reflection the only three permutations which work are 1234, 1243, and 1324
A206478
(Number of permutations of {1,2,...,n} for which sums of four consecutive numbers (with wraparound) are all distinct)/2n.
Original entry on oeis.org
12, 8, 76, 694, 2529, 23679, 177885, 1482021, 14666021
Offset: 5
a(6)=8 because up to rotation/reflection the only three permutations which work are 123465, 123546, 124653, 125364, 126543, 132456, 132645, 136524.
A206480
(Number of permutations of {1,2,...,n} for which sums of five consecutive numbers (with wraparound) are all distinct)/2n.
Original entry on oeis.org
60, 46, 690, 2529, 67636, 184014, 2374017, 19353643
Offset: 6
Some examples of such permutations are: 12568374; 13756824; and 16253847
Showing 1-4 of 4 results.
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