52529

Properties

Appears in sequences

• (1-2*cos(1/11*Pi))^n+(1+2*cos(2/11*Pi))^n+(1-2*cos(3/11*Pi))^n+(1+2*cos(4/11*Pi))^n+(1-2*cos(5/11*Pi))^n.at n=10A062883
• Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1 and x=1.at n=21A080136
• Number of n-digit squares which contain the string "666" but not "6666".at n=13A102832
• a(n) = -a(n-1) + 2a(n-2) - a(n-3), with a(0) = 0, a(1) = 1, a(2) = -3.at n=15A135019
• a(1) = 1, a(n) = Sum_{k=1..n} (k mod 3) * a(n-k) for n >= 2.at n=15A141685
• a(1)=a(2)=a(3)=1, a(4)=3; thereafter a(n) = a(n-1) + a(n-3).at n=29A179070
• Expansion of (5-16*x+6*x^2+10*x^3-2*x^4)/(1-4*x+2*x^2+5*x^3-2*x^4-x^5).at n=11A189235
• Prime numbers generated by concatenating k, k, and 9.at n=10A210514
• Balanced primes which are the average of two successive semiprimes.at n=29A212820
• Number of 2 X 2 matrices with all elements in {-n,..,0,..,n} with determinant = 2*permanent.at n=38A280343
• Number of nX4 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=4A281536
• Number of nX5 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=3A281537
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=31A281540
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=32A281540
• Balanced primes of order one ending in 9.at n=22A303095
• 2nd row of the 3-Zeckendorf array (A136189), including prepended terms.at n=30A372760
• Primes having only {2, 5, 9} as digits.at n=16A385786
• Primes having only {0, 2, 5, 9} as digits.at n=39A386050
• Primes having only {2, 5, 8, 9} as digits.at n=33A386164
• Prime numbersat n=5363