30192

Appears in sequences

• Numbers that can be expressed as the difference of the squares of primes in exactly five distinct ways.at n=33A092001
• Total sum of odd parts in all compositions of n.at n=12A102713
• Sum of tetrahedral numbers A000292(k), with k in the reduced residue system modulo n.at n=33A189918
• Number of (w,x,y,z) with all terms in {1,...,n} and w<|x-y|+|y-z|.at n=33A212692
• Expansion of (chi(-x) / chi^3(-x^3))^2 in powers of x where chi() is a Ramanujan theta function.at n=39A216046
• Number of partitions of n whose different summands alternate in parity.at n=49A242110
• a(n) = floor(((sqrt(sqrt(3))^3)/sqrt(Pi))^n).at n=41A255575
• a(n) = n*(n+1)*(n+2)*(n+3)*(n^2+3*n+26)/720.at n=14A257200
• Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^2) in powers of x.at n=14A285988
• The number of edges on a concave circular triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=13A340687
• a(n) = Sum_{k=0..floor(4*n/7)} binomial(k+2,4*n-7*k).at n=31A390219
• a(n) = Sum_{k=0..floor(n/2)} binomial(k+2,4*n-8*k+2).at n=35A390222
• a(n) = Sum_{k=0..floor(3*n/8)} binomial(k+1,3*n-8*k).at n=50A392674