Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k double descents and initial descents (n>=0; 0<=k<=max(0,n-1)) [we say that i is a doubledescent of a permutation p if p(i) > p(i+1) > p(i+2); we say that a permutation p has an initial descent if p(1) > p(2)].
A162976
Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k double descents and initial descents (n>=0; 0<=k<=max(0,n-1)) [we say that i is a doubledescent of a permutation p if p(i) > p(i+1) > p(i+2); we say that a permutation p has an initial descent if p(1) > p(2)].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =9a(8) =11a(9) =3a(10) =1a(11) =39a(12) =48a(13) =28a(14) =4a(15) =1a(16) =189a(17) =297a(18) =166a(19) =62a(20) =5a(21) =1a(22) =1107a(23) =1902a(24) =1419a(25) =476a(26) =129a(27) =6a(28) =1a(29) =7281
External references
- oeis: A162976