33469

Properties

Appears in sequences

• a(n+3) = 5*a(n+2)-4*a(n+1)+a(n).at n=9A012886
• Number of tilings of {1...n} by translation and reflection of a single set.at n=31A096154
• Expansion of (1-3x)/(1-x^2+x^3).at n=36A117374
• 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, 0), (-1, 1, -1), (0, 0, -1), (1, -1, -1), (1, 1, 1)}.at n=9A149509
• Number of binary strings of length n with no substrings equal to 0000 0001 or 0100.at n=14A164409
• G.f.: A(x) = exp( Sum_{n>=1,k>=0} CATALAN(n,k)^2*x^(n+k)/n ), where CATALAN(n,k) = n*C(n+2*k-1,k)/(n+k) is the coefficient of x^k in C(x)^n and C(x) is the g.f. of the Catalan numbers.at n=7A183070
• Primes of the form k^2 + prime(k).at n=26A184935
• Number of n-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.at n=5A209065
• Number of n-bead necklaces labeled with numbers -6..6 not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.at n=5A209071
• T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.at n=60A209073
• Number of 6-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.at n=5A209075
• Primes p such that q = 2*p^3-1 and 2*p*q^2-1 are both prime.at n=9A224614
• Primes dividing nonzero terms in A002065.at n=38A328704
• Prime numbersat n=3583