A132178 Triangle read by rows: T(n,m) is the number of cyclic permutations of [n] in which m of successive numbers add to a prime. 0<=m<=n, read by rows n>=0.

0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 4, 4, 2, 0, 1, 6, 19, 16, 15, 2, 1, 6, 36, 84, 108, 90, 24, 12, 0, 44, 230, 542, 722, 602, 266, 98, 14, 2, 208, 1284, 3478, 5272, 5202, 3004, 1378, 264, 70, 0, 912, 6856, 21784, 39496, 46816, 35680, 20824, 6616, 2224, 184, 48

Offset: 0

Author

R. J. Mathar, Nov 04 2007

Keywords

• nonn
• tabl

Comments

The last entry of the (2n)th row is A051252(n). Row sums are apparently in A001710(n-1).

Examples

			The triangle starts
n|
0| 0
1| 0 1
2| 0 0 1
3| 0 0 1 0
4| 0 0 2 0 1
5| 0 2 4 4 2 0
6| 1 6 19 16 15 2 1
7| 6 36 84 108 90 24 12 0
8| 44 230 542 722 602 266 98 14 2
9| 208 1284 3478 5272 5202 3004 1378 264 70 0
10| 912 6856 21784 39496 46816 35680 20824 6616 2224 184 48
11| 8016 58232 188160 358080 449424 380592 237888 95280 32880 4776 1072 0
12| 61952 465472 1597312 3298432 4563264 4406592 3152064 1578816 641088 151936 38336 2624 512