47501

Properties

Appears in sequences

• Number of primes between Pi^(n-1) and Pi^n.at n=11A061274
• Prime(144*n).at n=33A102350
• G.f. satisfies x = A(x)*(1+A(x))/(1-A(x)-(A(x))^2).at n=19A108624
• Number of idempotent order-preserving partial transformations (of an n-element chain).at n=9A112091
• Triangle T(n,k) = 3*binomial(n, k)^2 - binomial(n, k) - 1, read by rows.at n=49A144404
• Triangle T(n,k) = 3*binomial(n, k)^2 - binomial(n, k) - 1, read by rows.at n=50A144404
• Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 7 ones in any 5 X 5 X 5 subtriangle.at n=13A153958
• a(n) = 76*n^2 + 1.at n=25A158767
• Number of 4 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=33A188555
• Number of (n+1)X(3+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.at n=4A235768
• Number of (n+1)X(5+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.at n=2A235770
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.at n=23A235772
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.at n=25A235772
• Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = A254067(n,k) - A257499(n,k), n,k >= 1.at n=45A254131
• Primes p with p-1, p+1, prime(p)-1 and prime(p)+1 all practical.at n=10A257924
• Prime numbers p such that all prime factors of p+1 and p-1 are smaller than the cube root of p.at n=21A283791
• Number of n X n 0..1 arrays with every element unequal to 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.at n=7A304296
• Primes p such that p + 6, p + 12, p + 20, p + 26 and p + 32 are also primes.at n=17A384769
• Prime numbersat n=4896