57288
domain: N
Appears in sequences
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7).at n=36A017820
- a(n) = (2^(n-1)/(2n)!)*Product_{k=1..n} q(k) where q(n) is the denominator of B(2n), the 2n-th Bernoulli number.at n=14A069267
- Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k^2.at n=31A080395
- Largest integer m such that m divides (sigma_(2n+1)(2k-1)-sigma(2k-1)) for all k>=1.at n=14A081863
- Numbers that can be expressed as the difference of the squares of primes in exactly six distinct ways.at n=33A092002
- Fifth column (m=4) of (1,3)-Pascal triangle A095660.at n=30A095661
- T(n,k) = number of n-step one or two space at a time rook's tours on a k X k board summed over all starting positions.at n=50A187286
- Number of 6-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=4A187291
- Number of distinct (unordered) pairs of partitions of a 9-element set that have Rand distance n.at n=23A192102
- First differences of A275315.at n=37A275066
- First differences of A275316.at n=37A275472
- a(n) = 3*(3*n+1)*(9*n+8)/2.at n=37A304504
- a(n) = 6*(n - 1)*(81*n - 104) for n >= 1.at n=11A304837
- G.f. = Phi*F^5, where Phi = g.f. for A028930, F = g.f. for A028959.at n=17A328536
- Number of ways to write n as an ordered sum of 6 nonprime numbers.at n=43A341483
- Number of cribs that score n points in 6-card cribbage.at n=16A346266
- Least modulus k such that the multiplicative group modulo k is the direct product of n nontrivial cyclic groups.at n=10A379423
- Numbers k such that k + A224787(k) is a square.at n=26A386640