42451

Properties

Appears in sequences

• Expansion of (1 - 3*x) / (1 - 5*x + 3*x^2).at n=8A052961
• Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=28A070182
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642].at n=37A078855
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,4).at n=12A078961
• Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 0110-1111-0110 pattern in any orientation.at n=17A146923
• Number of nondecreasing -n..n vectors of length 3 whose dot product with some lexicographically greater than or equal to nondecreasing -n..n vector equals 3.at n=34A226424
• Primes of the form n^2 + 15.at n=29A243450
• Number A(n,k) of tilings of a k X n rectangle using polyominoes of shape I; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=57A254414
• Number A(n,k) of tilings of a k X n rectangle using polyominoes of shape I; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=63A254414
• Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=10A270799
• Number of n X 4 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.at n=9A275179
• Primes for which the concatenation of the digits in the even positions and the concatenation of the digits in the odd positions are squares.at n=36A275797
• Prime numbers such that the product of their digits equals twice the number of their digits times the sum of their digits.at n=3A343701
• Expansion of e.g.f. exp(-3*x)/(exp(-x) - x)^2.at n=6A379992
• Primes p such that p + 6, p + 10, p + 12, p + 16 and p + 22 are also primes.at n=4A383396
• Prime numbersat n=4439