409114

Appears in sequences

• Left factorials: !n = Sum_{k=0..n-1} k!.at n=10A003422
• Rectangular table, read by antidiagonals, defined by the following rule: start with all 1's in row zero; from then on, row n+1 equals the partial sums of row n excluding terms in columns k = m*(m+1)/2 (m>=1).at n=56A127054
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k as the last entry in the first block (1<=k<=n).at n=54A177263
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k as the first entry in the last block (1<=k<=n).at n=45A177264
• Triangle read by rows, T(n,k) = !n + (k-1)*(n-1)!, with n>=1, 1<=k<=n; Position of the first n-letter permutation beginning with number k in the list of lexicographically sorted permutations A030299.at n=45A237450
• Triangle read by rows: T(n,k) = (Sum_{i=k..n} i!)/(k!) for 0 <= k <= n.at n=45A348482
• Triangle read by rows: T(n, k) = Sum_{j=0..n} j! * binomial(n - j, n - k).at n=54A361042