33601

Properties

Appears in sequences

• a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n.at n=19A002219
• Primes with 29 as smallest positive primitive root.at n=5A061733
• a(n) = 3^n mod n^3.at n=37A066607
• Expansion of (1-3x)/((1-x)(1-4x)(1-5x)).at n=6A097165
• Smallest of 3 consecutive prime numbers such that p1*p2*p3*d1*d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(delta)=p2-p1, d2(delta)=p3-p2.at n=23A153409
• Primes of the form Sum_{k=1..m} (m^k mod (m+k)).at n=24A156557
• A symmetrical triangular sequence:t(n,m)=(n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1.at n=16A174791
• A symmetrical triangular sequence:t(n,m)=(n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1.at n=19A174791
• Primes of the form x^2 + 5*y^2, where x and y=x+1 are consecutive natural numbers.at n=21A176608
• Greater of twin primes p such that 3*p-2 is also greater of twin primes.at n=17A177336
• Smallest prime factor of (n^n)^2 + 1 having the form k*n+1.at n=13A208399
• a(n) = (16/3)*(n+1)*n*(n-1) + 8*n^2 + 1.at n=17A212668
• Primes p of the form 420k + 1 for some k.at n=33A217587
• Primes p of the form p = 1 + 840*k for some k.at n=19A217862
• E.g.f.: exp( Sum_{n>=1} sigma(n,n) * x^(n^2) / n^n ).at n=8A226890
• The greater of twin primes p2 such that 2*p1 + p2 is a prime number (A174913) and also the lesser of other twin primes in A174913.at n=4A242773
• a(n) = 137*n^2 - 4043*n + 27277.at n=31A267706
• Prime numbers p such that p - 2, p^2 - p - 1, p^2 - p + 1 are prime numbers.at n=13A274525
• Number of partitions of n which can themselves be subdivided into two partitions whose sums differ by 1 at most.at n=40A276107
• Left-hand half of triangle A297193.at n=49A297194