cp's OEIS Frontend

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.

%I A132178 #3 Mar 30 2012 17:39:25
%S A132178 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,
%T A132178 108,90,24,12,0,44,230,542,722,602,266,98,14,2,208,1284,3478,5272,
%U A132178 5202,3004,1378,264,70,0,912,6856,21784,39496,46816,35680,20824,6616,2224,184,48
%N 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.
%C A132178 The last entry of the (2n)th row is A051252(n). Row sums are apparently in A001710(n-1).
%e A132178 The triangle starts
%e A132178 n|
%e A132178 0| 0
%e A132178 1| 0 1
%e A132178 2| 0 0 1
%e A132178 3| 0 0 1 0
%e A132178 4| 0 0 2 0 1
%e A132178 5| 0 2 4 4 2 0
%e A132178 6| 1 6 19 16 15 2 1
%e A132178 7| 6 36 84 108 90 24 12 0
%e A132178 8| 44 230 542 722 602 266 98 14 2
%e A132178 9| 208 1284 3478 5272 5202 3004 1378 264 70 0
%e A132178 10| 912 6856 21784 39496 46816 35680 20824 6616 2224 184 48
%e A132178 11| 8016 58232 188160 358080 449424 380592 237888 95280 32880 4776 1072 0
%e A132178 12| 61952 465472 1597312 3298432 4563264 4406592 3152064 1578816 641088 151936 38336 2624 512
%K A132178 nonn,tabl
%O A132178 0,13
%A A132178 _R. J. Mathar_, Nov 04 2007