53970
domain: N
Appears in sequences
- Stella octangula numbers: a(n) = n*(2*n^2 - 1).at n=30A007588
- Number of n-dimensional partitions of 5.at n=29A008779
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0,2.at n=7A037772
- Numbers k having exactly 5 distinct prime factors, the largest of which is greater than or equal to sqrt(k) (i.e., sqrt(k)-rough numbers with exactly 5 distinct prime factors).at n=8A115959
- Triangle read by rows: expansion of p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 3)*Sum[Binomial[n, m]*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=59A146767
- a(n) = number of primes of the form P(k) = k^2 + 1 <= 10^n as predicted by the Hardy and Littlewood Conjecture F, rounded to nearest integer. The actual number of primes is A083844(n).at n=11A331942