48953
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = least m such that if r and s in {F(h)/F(2*h): h = 1,2,...,n} satisfy r < s, then r < k/m < s for some integer k, where F = A000045 (Fibonacci numbers).at n=21A024831
- a(n) = A014217(n+3) - A014217(n).at n=20A153263
- Lesser of two Pythagorean primes for which the Pythagorean triangles have the same area.at n=22A157184
- Number of (n+2)X5 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals.at n=6A202772
- Number of (n+2)X9 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals.at n=2A202776
- T(n,k) = Number of (n+2) X (k+2) binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals.at n=38A202777
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood.at n=40A272512
- Primes p such that A001414(p+1) = A001414(p-1) - 1.at n=14A342823
- Length of the shorts leg in the unique primitive Pythagorean triple whose inradius is A000032(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=21A380821
- Prime numbersat n=5032