32359

Properties

Appears in sequences

• Denominators of continued fraction convergents to sqrt(239).at n=9A041447
• Denominators of continued fraction convergents to sqrt(956).at n=11A042851
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6, 2]; short d-string notation of pattern = [462].at n=34A078851
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,2,6).at n=9A078955
• Primes which are the sum of three 5th powers.at n=8A085319
• Duplicate of A085319.at n=8A123032
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 12 : primes in A146336.at n=23A146357
• Primes followed by at least five consecutive primes as closely as possible.at n=23A156114
• Expansion of 1/(1 - x - x^8 - x^15 + x^16).at n=53A173925
• Number of nX3 binary arrays with each sum of a(1..i,1..j) no greater than i*j/2 and rows and columns in nondecreasing order.at n=13A183410
• Primes of the form 7n^2 - 9.at n=15A201854
• Primes of the form 6*p + 1 with p prime that are also of the form x^2 + 27*y^2 and congruent to 7 mod 24.at n=37A256172
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 491", based on the 5-celled von Neumann neighborhood.at n=34A272541
• Consider Post's tag system applied to the word (100)^n; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded.at n=38A291796
• Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=6A317427
• Number of n X 7 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=5A317428
• G.f. A(x) satisfies: Sum_{n>=0} A(x)^(n*(n-1)+1) * x^n = Sum_{n>=0} (A(x)^(n-1) + 1)^n * x^n.at n=8A326562
• Primes p such that 2*p-1 and (2*p-1)^2+(2*p)^2 are also prime.at n=36A347165
• Primes p such that p + 4, p + 10, p + 12, p + 18 and p + 22 are also primes.at n=3A383167
• Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3.at n=34A385188