40312

Appears in sequences

• a(n) = n! - n.at n=8A005096
• Representation degeneracies for boson strings.at n=34A005294
• Numbers k such that sigma(k-2) + sigma(k+2) = sigma(2k).at n=14A067172
• a(n) = n! - Sum_{i} p_i!^e_i, where n = Product_{i} (p_i^e_i).at n=7A086684
• Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and such that the sum of the bottom levels of all columns is k (n>=1, k>=0; informally, the number of the "missing" cells in the right bottom corner of the polyomino). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=44A122104
• Triangle T(n, k) = n*( (n-1)! - (k-1)! ), read by rows.at n=28A137259
• Triangle T(n, k) = n*( (n-1)! - (k-1)! ), read by rows.at n=29A137259
• Base 10 numbers d_1 d_2 ... d_k such that the digits d_i are distinct, and Sum_{i=1..k-1} d_i^i = d_k^k.at n=9A177772
• Numbers whose digits are a permutation of [0,...,n] and which contain the product of any two adjacent digits as a substring.at n=29A203569
• In base 5, numbers n which have 5 distinct digits, do not start with 0, and have property that the product (written in base 5) of any two adjacent digits is a substring of n.at n=13A210016
• Largest number k such that (k!+n!)/(k+n) is an integer.at n=6A242747
• Integers x such that [f(0), f(f(0)), ..., f(...f(0)...)] is a permutation of [0, 1, ..., k-1], where k is the number of digits in x and f(a) denotes the 0-based index of the first occurrence of the substring a in x.at n=29A307620
• a(n) is the number of distinct values of the determinant of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the first n-1 primes off-diagonal.at n=9A374619