36307

Properties

Appears in sequences

• 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, 0, 1), (-1, 1, 1), (0, 1, -1), (1, -1, 1), (1, 1, 1)}.at n=8A149795
• Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=49A155032
• Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=18A176111
• Primes of the form 3n^2 + 7.at n=15A201479
• E.g.f. satisfies: A(x) = Sum_{n>=0} x^n/n! * Product_{k=1..n} A(k*x)^(1/k).at n=6A230318
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 291", based on the 5-celled von Neumann neighborhood.at n=38A271131
• a(n) = [x^n] Product_{k>=1} 1/(1 - x^(k^2))^n.at n=9A300974
• Happy Honaker primes.at n=33A343192
• a(n) = A002070(n) + A036689(n).at n=42A366346
• a(n) = Sum_{j=1..n} Sum_{k=1..n} phi(2*j*k) / phi(k).at n=37A372664
• Prime numbersat n=3853