35423

Properties

Appears in sequences

• a(n) = a(n-1) + a(n-2) - 1.at n=22A001588
• Erdős-Selfridge function: a(n) is the least number m > n+1 such that the least prime factor of binomial(m, n) is > n.at n=22A003458
• a(n+2) = a(n+1) + a(n) + (-1)^n, with a(1) = a(2) = 1.at n=23A066983
• a(n) is the smallest prime == 1 (mod F(n)) where F(n) is the n-th Fibonacci number.at n=21A087384
• A Chebyshev transform of (1+3x)/(1-3x).at n=10A099858
• Expansion of (-1-x-x^2-4*x^3-4*x^4+4*x^5+x^6+x^7+x^8) / ((x+1)*(x^2-x+1)*(x^2+x-1)*(x^4-x^3+2*x^2+x+1)).at n=21A108390
• Expansion of (-1-x-x^2-4*x^3-4*x^4+4*x^5+x^6+x^7+x^8) / ((x+1)*(x^2-x+1)*(x^2+x-1)*(x^4-x^3+2*x^2+x+1)).at n=22A108390
• Primes of the form 2*F(k) + 1.at n=10A124081
• Binomial transform of b(n) = (0, 0, A007910).at n=11A137500
• Primes of the form k*(k+2)/3 - 2, k > 0.at n=40A162307
• a(n) = 2*(A000045(n)-(n mod 2)) + 1 + (n mod 2).at n=22A166012
• Constant term in the reduction by (x^2 -> x + 1) of the polynomial p(n,x) defined below at Comments.at n=12A192908
• The number of 2 X 2 matrices with all eigenvalues real and whose entries are integers with absolute value at most n.at n=6A219736
• a(0)=-1, a(1)=3; a(n+2) = a(n+1) + a(n) + 2*A057078(n+1).at n=22A227104
• Primes which are not the sums of two consecutive non-Fibonacci numbers.at n=16A257110
• Lexicographically largest strictly increasing sequence of primes for which the continued square root map produces Feigenbaum's constant delta = 4.6692016... (A006890).at n=29A257809
• Primes p such that 2*prime(p) + 1 = prime(q) for some prime q.at n=34A261361
• Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.at n=13A305342
• Primes that are palindromes in primorial base.at n=33A333424
• a(n) = Sum_{d|n} d * (d!)^(n/d-1).at n=13A356541