34019

Properties

Appears in sequences

• A McMullen transform involving x->x+1/x of Lehmer's polynomial gives the polynomial used to get this expansion sequence: p(x)=1 + x + 10 x^2 + 8 x^3 + 44 x^4 + 28 x^5 + 113 x^6 + 57 x^7 + 191 x^8 + 79 x^9 + 227 x^10 + 79 x^11 + 191 x^12 + 57 x^13 + 113 x^14 + 28 x^15 + 44 x^16 + 8 x^17 + 10 x^18 + x^19 + x^20.at n=18A143465
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, 0), (1, -1, 1), (1, 1, 0)}.at n=8A150432
• G.f. satisfies: A(A(x)) = Sum_{n>=1} A(x)^(n(n+1)/2)/x^(n(n-1)/2).at n=10A173437
• Primes p such that 3*p+4, 5*p+6 and 7*p+8 are also prime.at n=29A173879
• Third prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=35A238675
• Prime numbersat n=3639