28771

Properties

Appears in sequences

• Numbers whose base-13 representation has exactly 5 runs.at n=26A043660
• Primes of form 210*p + 1 where p is a prime.at n=17A051648
• Primes with a prime number of partitions into prime parts.at n=33A146949
• G.f. := (1-sqrt(1-4*x+4*x^2-4*x^3))/(2(1-x+x^2)x).at n=13A152171
• A new general triangle sequence based on the Eulerian form in three parts ( subtraction):m=3; t0(n,k)=If[n*k == 0, 1, Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]] t(n,k,m)=If[n == 0, 1, ( m*(n - k) + 1)*t0(n - 1 + 1, k - 1) + (m*k + 1)*t0(n - 1 + 1, k) - m*k*(n - k)*t0(n - 2 + 1, k - 1)].at n=31A157181
• A new general triangle sequence based on the Eulerian form in three parts ( subtraction):m=3; t0(n,k)=If[n*k == 0, 1, Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]] t(n,k,m)=If[n == 0, 1, ( m*(n - k) + 1)*t0(n - 1 + 1, k - 1) + (m*k + 1)*t0(n - 1 + 1, k) - m*k*(n - k)*t0(n - 2 + 1, k - 1)].at n=32A157181
• Primes p such that (p+18), (p+36) and (p+72) are also prime.at n=32A175158
• Primitive prime factors of the cyclotomic polynomial sequence Phi(7,k) in the order in which they occur.at n=30A256146
• Primes p such that, if q is the next prime, p^2 + q is a prime times a power of 10.at n=27A352852
• a(1) = 3; a(2) = 5; a(n+1) = a(n) + b(n), where b(n) = max {a(n-1)+-1, a(n-2)+-1, a(n-3)+-1, ..., a(1)+-1} such that a(n) + b(n) is a prime.at n=33A352952
• Number of subsets of {1..n} containing n but not containing the sum of any two distinct elements.at n=24A364755
• Positions of records in A205561.at n=33A378189
• Prime numbersat n=3134