100776

Appears in sequences

• a(n) = 2*Catalan(n) - Catalan(n-1).at n=10A000782
• Number of internal triangles in all triangulations of an (n+1)-gon.at n=7A002058
• Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.at n=20A005508
• a(n) = (n+1)*(2*n+1)*(3*n+1).at n=25A011199
• Theta series of A*_18 lattice.at n=42A023930
• a(n) = (7*n+2)*C(n)/(n+2), where C(n) is the n-th Catalan number.at n=9A061557
• a(n) = C(3+n, n) + C(4+n, n) + C(5+n, n) + C(6+n, n).at n=16A062966
• If n | a(n) then a(n+1) = a(n)/(highest power of n that divides a(n)), otherwise a(n+1) = n*a(n); a(0) = 1.at n=22A065422
• Successive maxima in sequence A007365.at n=25A065933
• Smallest integer value of lcm(n+1, n+2, ..., n+k) (for k >= 0) divided by the product of all the primes up to n.at n=10A075368
• Smallest integer value of lcm(n+1, n+2, ..., n+k) (for k >= 0) divided by the product of all the primes up to n.at n=11A075368
• Erroneous version of A002058.at n=7A094583
• Seventh column (m=6) of (1,4)-Pascal triangle A095666.at n=15A095669
• Triangle read by rows: T(n,k) is the number of Dyck n-paths containing k even-length descents to ground level.at n=43A111301
• Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order.at n=20A121738
• Triangle read by rows, giving dimensions of exceptional groups with extension to E9 as a non-simple Lie algebra.at n=13A128894
• Dimensions of certain Lie algebra (see reference for precise definition).at n=4A133238
• Triangle read by rows: T(n,k)=k*binomial(n-2k,3k+1) (n>=6, 0<=k<=(n-1)/5).at n=39A138779
• Convolution square of A058187, the tetrahedral series with repeats.at n=25A178440
• a(n) = sigma(n)*Fibonacci(n), where sigma(n) = A000203(n), the sum of divisors of n.at n=17A203848