75167

Properties

Appears in sequences

• Number of free n-ominoes with cell centers determining n-2 space (proper dimension n-2).at n=10A036364
• Fifth term of strong prime sextets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=25A054817
• Sixth term of strong prime sextets: p(m-4)-p(m-5) > p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=24A054818
• Primes p such that x^49 = 2 has no solution mod p, but x^7 = 2 has a solution mod p.at n=22A059667
• Number of conjugacy classes in the symmetric group S_n that have even number of elements.at n=43A060643
• Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=31A137366
• a(n) = 58*n^2 - 1.at n=35A158668
• Expansion of (1+12*x+28*x^2+12*x^3+x^4)/(1-x)^5.at n=13A160767
• Number of partitions of n+2 with largest inscribed rectangle having area <= n.at n=42A218623
• Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=4A240457
• T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=25A240460
• Number of 5Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=2A240464
• a(n) = Sum_{k=0..n} p(k)*q(k), where p(k) = partition numbers (A000041) and q(k) = partition numbers into distinct parts (A000009).at n=19A265096
• Primes p such that p+2, 3*p+2 and 3*p+8 are also primes.at n=31A278138
• Primes p such that (4^p - 2^p + 1)/3 is prime.at n=13A359436
• a(1) = 1, a(2) = 2, a(3) = 3; for n > 3, a(n) is the smallest positive number which has not appeared such that all the distinct prime factors of a(n-3) + a(n-2) + a(n-1) are factors of a(n).at n=32A361593
• Prime numbersat n=7406