34256
domain: N
Appears in sequences
- Smallest composite number x such that sigma(x + prime(n)#) = sigma(x) + prime(n)#, where prime(n)# = A002110(n) and sigma is A000203.at n=5A055009
- Numbers k such that (k+3, k+5, k+17, k+257, k+65537) are all primes.at n=27A063799
- Interprimes which are of the form s*prime, s=16.at n=26A075291
- Diagonal in array of n-gonal numbers A081422.at n=31A081438
- Expansion of (1-4x+12x^2-16x^3+8x^4)/(1-x)^5.at n=31A119327
- Triangle read by rows: T(n,k) = T(n-1,k-1) +T(n-1,k) +n*(n-1)*T(n-2,k-1) for n>4 and 1<=k<=n.at n=38A153592
- Triangle read by rows: T(n,k) = T(n-1,k-1) +T(n-1,k) +n*(n-1)*T(n-2,k-1) for n>4 and 1<=k<=n.at n=42A153592
- a(1)=2; for n > 1, a(n) is the largest number <= 2*a(n-1) divisible by n.at n=15A178901
- Number of partitions of sigma(n) into divisors of n, where sigma = A000203.at n=29A306387
- Number of Young tableaux with n cells whose shape is asymmetric.at n=11A330645
- Number of compositions (ordered partitions) of n into distinct parts, the least being 1.at n=30A339162
- Sum_{n>=0} a(n) * x^n / (n!)^2 = exp( Sum_{n>=0} x^(2*n+1) / (2*n+1)^2 ).at n=6A346371