22306

Appears in sequences

• Numbers n such that 6*p(n)-1 and 6*p(n)+1 are twin primes and 6*p(n+1)-1 and 6*p(n+1)+1 are also twin primes with p(n) = n-th prime.at n=28A126655
• 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, 1, 1), (1, -1, 0), (1, 0, -1)}.at n=9A148937
• a(n) = 2*(n^3 + n^2 + n - 1).at n=22A155120
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 201", based on the 5-celled von Neumann neighborhood.at n=15A279807
• Numbers k such that phi(x) = 12*k+2 is solvable, where phi is Euler's totient A000010.at n=28A289364
• a(1)=0; for n>1, a(n) = 4*n^3 - 3*n^2 - 3*n + 4.at n=17A296363
• G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x)/(1 - 2*x*A(x)/(1 - 3*x*A(x)/(1 - 4*x*A(x)/(1 - ...))))), a continued fraction.at n=6A301363
• Expansion of g.f. (sqrt(x+1) - sqrt(1-3*x))/(2*(x+1)^(3/2)).at n=15A309303
• a(n) = [x^(n*(n+1)/2)] Product_{k=1..n} Sum_{m>=0} x^(k*m^2).at n=13A320932
• Number of subsets of {1..n} containing n such that some element can be written as a positive linear combination of the others.at n=49A365042