214129

Properties

Appears in sequences

• a(0) = 1, a(1) = 4, and a(n) = a(n-1) + a(n-2) for n >= 2.at n=24A000285
• Generalized Pellian with second term of 9.at n=8A048878
• Expansion of (1+2*x)/(1-3*x+x^2).at n=12A054486
• a(1) = 2, a(2) = 3 and a(n) = the smallest prime which is a linear combination of all previous terms with all coefficients >= 1.at n=17A072537
• Primes occurring in the sequence 3, 1, 4, 5, 9, 14, 23, ... (A000285 prefixed with 3).at n=9A091157
• Fibonacci sequence with initial values a(0) = 3 and a(1) = 1.at n=25A104449
• 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, 0), (1, 0, -1), (1, 0, 1), (1, 1, 0)}.at n=9A150727
• Primes that are the sum of two Fibonacci numbers.at n=38A178576
• Primes that have two terms in their Zeckendorf representation.at n=30A182569
• y-values in the solution to x^2 - 20*y^2 = 176.at n=24A228208
• Primes p such that p^6 - p^5 + 1 and p^6 - p^5 - 1 are both primes.at n=26A243522
• a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 1, a(1) = 3, a(2) = 5, a(3) = 7.at n=24A295717
• Array read by antidiagonals: row n consists of the primes in row n of the array A333028.at n=47A333086
• Prime numbersat n=19140