2286144

Appears in sequences

• Triangle of coefficients in expansion of (6+7x)^n.at n=29A013627
• Squares which are the sum of twin prime pairs.at n=31A037072
• Squares that are a difference between 2 positive cubes.at n=24A038596
• a(n) = (2*n*(n+1))^2.at n=27A060300
• Numbers whose sum of non-unitary divisors is a prime and sets a new record for such primes.at n=33A063760
• Perfect powers which are the sum of twin prime pairs.at n=34A119767
• Refactorable numbers k such that the number of odd divisors r is odd, the number of even divisors s is even and both r and s are divisors of k.at n=19A120349
• Even refactorable numbers k such that the number r of odd divisors is odd, the number s of even divisors is even, both r and s are divisors of k and k is the first number for which the triple (r,s,t) occurs, where t is the number of divisors of k.at n=14A120359
• Numbers such that the root mean cube of their prime factors is a nonprime integer (where the root mean cube of c and d is ((c^3+d^3)/2)^(1/3)).at n=10A134613
• Numbers (excluding primes and powers of primes) such that the root mean cube of their prime factors is an integer (where the root mean cube of c and d is ((c^3+d^3)/2)^(1/3)).at n=12A134614
• Number of reduced words of length n in Coxeter group on 9 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.at n=7A162960
• Largest divisor of n!/4 which is less than sqrt(n!)/2.at n=12A181899
• Number of n X 8 binary arrays without the pattern 0 1 diagonally or antidiagonally.at n=24A188823
• Number of 6Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=9A208145
• Triangular array read by rows: T(n,k) is the number of elements x in {1,2,...,n} such that |(f^-1)(x)| = k over all functions f:{1,2,...,n}->{1,2,...,n}; n>=0, 0<=k<=n.at n=29A210457
• Number of (n+1)X(5+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors.at n=2A239175
• T(n,k) = number of (n+1) X (k+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors.at n=23A239178
• Number of (3+1)X(n+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors.at n=4A239181
• Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 1 as Sum_{k=0..n} T(n,k)*binomial(n,k).at n=52A244116
• Maximum number of binary strings with symmetrically partitioned n 1's and n 0's, counted up to isomorphism.at n=16A250029