40319

Appears in sequences

• If n is even, 2(n/2 + 1)! - 1; if n is odd, ((n + 1)/2 + 1)! - 1.at n=12A030494
• a(n) = n! - 1.at n=8A033312
• Triangle of numbers T(n,k) = number of permutations of n things with longest increasing subsequence of length <=k (1<=k<=n).at n=34A047887
• Composite numbers n such that k! == 1 (mod n) for some k > 2.at n=32A049048
• Differences of two factorial numbers.at n=28A051949
• Positions of non-crossing fixed-point-free involutions encoded by A014486 in A055089. Permutation of A064640.at n=22A064638
• Positions of non-crossing fixed-point-free involutions encoded by A014486 (after reflection) in A055089. Permutation of A064640.at n=22A064639
• Positions of non-crossing fixed-point-free involutions (encoded by A014486) in A055089, sorted to ascending order.at n=22A064640
• T_7(n) in the notation of Bergeron et al., u_k(n) in the notation of Gessel: Related to Young tableaux of bounded height.at n=7A072131
• Triangle read by rows: T(n,k) = n*T(n-1,k) + n - k starting at T(n,n)=0.at n=37A081114
• Array read by antidiagonals: T(m,n) = Sum_{i=1..m} i*(n-1+i)!.at n=27A100630
• Table read by antidiagonals: T(m,n) gives the ordinal number in the table of permutations of length n+1 of the permutation which reverses the first m+1 items on a list of length n+1, leaving the remaining items unaltered. For example, T(5,7) is 28494 and the 28494th row of the permutation table of order 8 is 5 4 3 2 1 0 6 7.at n=59A100711
• Triangle read by rows in which the n-th row consists of the first n nonzero terms of A033312.at n=42A105060
• Triangle read by rows in which the n-th row consists of the first n nonzero terms of A033312.at n=34A105060
• Triangle read by rows in which the n-th row consists of the first n nonzero terms of A033312.at n=27A105060
• Triangle read by rows in which the n-th row consists of the first n nonzero terms of A033312.at n=51A105060
• Lexicographically earliest sequence of positive integers with the property that a(a(n)) = a(1)+a(2)+...+a(n).at n=28A105753
• Triangle T(n,k) = A034386(n)*A049614(k) - 1 read by rows.at n=52A117878
• Triangle T(n,k) = A034386(n)*A049614(k) - 1 read by rows.at n=43A117878
• Triangle T(n,k) = A034386(n)*A049614(k) - 1 read by rows.at n=35A117878