37128

Appears in sequences

• From paths in the plane.at n=5A006859
• Expansion of e.g.f. arcsinh(sin(x)*exp(x)).at n=8A012291
• Number of primes < e^n.at n=13A040014
• Number of branches in all noncrossing rooted trees on n nodes on a circle.at n=6A045738
• (1+e)-harmonic numbers: harmonic mean of (1+e)-divisors is an integer.at n=15A053783
• Largest triangular number less than or equal to sum of previous terms with a(0)=1.at n=17A061883
• Third column of triangle A067323.at n=8A067324
• Triangular numbers with sum of digits = 21.at n=23A068131
• Triangular numbers which are products of triangular numbers larger than 1.at n=29A068143
• Triangular numbers which are 7-almost primes.at n=16A076581
• Triangular numbers > 0 with a prime signature that has not occurred earlier.at n=30A085076
• Triangular numbers with palindromic indices.at n=36A089717
• a(n) = (3*n+3)!/(3*n!*(2*n+2)!).at n=5A090763
• Numbers that can be expressed as the difference of the squares of primes in exactly eleven distinct ways.at n=6A092007
• Seventh column (m=6) of (1,4)-Pascal triangle A095666.at n=12A095669
• a(n) = 4*n^3 + 4*n.at n=21A105374
• Triangle read by rows: T(n,k) = binomial(3k,k)*binomial(n+k,3k)/(2k+1) (0 <= k <= floor(n/2)).at n=47A108759
• a(n) = n*(n+1)*(n^2+n+1)/2.at n=16A110450
• Square array read by antidiagonals: S(p,q) = (p+q+1)!(2p+2q+1)!/((p+1)!(2p+1)!(q+1)!(2q+1)!) (p,q>=0).at n=41A111910
• Square array read by antidiagonals: S(p,q) = (p+q+1)!(2p+2q+1)!/((p+1)!(2p+1)!(q+1)!(2q+1)!) (p,q>=0).at n=39A111910