416024
domain: N
Appears in sequences
- Dirichlet convolution of Catalan numbers with themselves.at n=12A034768
- Composite binary rooted trees with external nodes.at n=24A035102
- Third diagonal of array in A059347.at n=23A059348
- Expansion of (1 + x*C)*C, where C = (1 - (1 - 4*x)^(1/2))/(2*x) is the g.f. for Catalan numbers, A000108.at n=12A068875
- Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864.at n=26A089408
- Expansion of exp( arcsinh( -2*x ) ) in powers of x.at n=26A104624
- Self-convolution of repeated Catalan numbers.at n=23A104722
- Expansion of exp( arcsinh( 2*x ) ).at n=26A182122
- The number of boundary twigs for complete binary twigs. A twig is a vertex with one edge on the boundary and only one other descendant.at n=11A228403
- a(n) = A241477(n, n).at n=26A241543
- Certain directed lattice paths.at n=6A260775
- Number of rooted asymmetrical polyenoids of type U_n* having n edges.at n=12A262543
- a(-1)=-1; a(n) = 2*A000108(n) for n >= 0.at n=13A284016
- Number of excursions of length n with Motzkin-steps forbidding all consecutive steps of length 2 except UH, HU, HD and DH.at n=48A329686
- Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UU, HH, HD and DU.at n=36A329688
- Numbers k such that k and k+1 are both half-Zumkeller numbers (A246198).at n=30A331371
- a(n) is the greatest value in the n-th triangle of A375873.at n=37A375963
- a(n) = 10/(n + 1) * Catalan(3*n).at n=4A387249