5348880
domain: N
Appears in sequences
- Third diagonal of array in A059347.at n=27A059348
- 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=14A068875
- Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864.at n=30A089408
- Expansion of exp( arcsinh( -2*x ) ) in powers of x.at n=30A104624
- Self-convolution of repeated Catalan numbers.at n=27A104722
- Expansion of exp( arcsinh( 2*x ) ).at n=30A182122
- 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=13A228403
- a(n) = A241477(n, n).at n=30A241543
- Certain directed lattice paths.at n=7A260775
- Number of rooted asymmetrical polyenoids of type U_n* having n edges.at n=14A262543
- a(-1)=-1; a(n) = 2*A000108(n) for n >= 0.at n=15A284016
- a(n) = (8*n + 18)*Pochhammer(n, 6) / 6!.at n=15A293614
- a(n) = (binomial(n,floor(n/2)))/(greatest common divisor of all numbers in n-th row of Pascal's triangle excluding 1 and n).at n=26A327703
- Number of excursions of length n with Motzkin-steps forbidding all consecutive steps of length 2 except UH, HU, HD and DH.at n=56A329686
- Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UU, HH, HD and DU.at n=42A329688
- a(n) is the greatest value in the n-th triangle of A375873.at n=43A375963