56628

Appears in sequences

• Product of two successive Catalan numbers C(n)*C(n+1).at n=6A005568
• a(n) = C(floor(n/2 + 1/2))*C(floor(n/2 + 1)) where C(i) = Catalan numbers A000108.at n=12A005817
• Multiplicity of highest weight (or singular) vectors associated with character chi_37 of Monster module.at n=41A034425
• Triangle read by rows giving number of ways to glue sides of a 2n-gon so as to produce a surface of genus g.at n=19A035309
• Right-hand diagonal of A035309.at n=7A035318
• Right-hand diagonal of odd numbered rows in A035309.at n=3A035320
• Triangle of numbers arising in enumeration of walks on square lattice.at n=36A052175
• Number of permutations of n letters where exactly 5 change position.at n=12A060836
• Square array read by antidiagonals of number of length 2k walks on an n-dimensional hypercubic lattice starting and finishing at the origin and staying in the nonnegative part.at n=38A064045
• Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals.at n=27A067640
• Rencontres numbers: permutations with exactly 8 fixed points.at n=5A129153
• Triangle read by rows: T(n,f) is the number of rooted maps with n edges and f faces on an orientable surface of genus 3.at n=1A269923
• Triangle read by rows: T(n,f) is the number of rooted maps with n edges and f faces on an orientable surface of genus 3.at n=2A269923
• Triangle read by rows: T(n,g) is the number of rooted maps with n edges and 2 faces on an orientable surface of genus g.at n=15A270406
• a(n) is the number of rooted maps with n edges and one face on an orientable surface of genus 3.at n=1A288075
• a(n) is the number of rooted maps with n edges and 2 faces on an orientable surface of genus 3.at n=0A288076
• a(n) = Product_{k=1..L} hypergeom([-n, -n], [1], k) with L = 4.at n=2A301393
• a(n) = floor(C(n/2)*C(n/2+1)), where C = Catalan numbers (A000108).at n=12A302093
• Triangle read by rows: T(n, k) is the number of walks of length 2*n on the N X N grid with unit steps in all four directions (NSWE) starting at (0, 0). k is the common value of the x- and the y-coordinate of the endpoint of the walk.at n=21A380119
• Numbers k such that 128 * 3^k - 1 is prime.at n=29A384228