35400

Appears in sequences

• Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex is strictly to the left of the rightmost top vertex.at n=8A005768
• a(n) = a(n,m) = Sum_{k=0..n} binomial(m*k,k)*binomial(m*(n-k),n-k) for m=6.at n=4A079679
• G.f.: x*(1 - x + x^2)/((1-x)^2 * (1 - x - x^2)).at n=20A104161
• If a(n-1)=abcde..., where a,b,c,d,e... are the digits, then a(n)=abcde...+a*bcde...+ab*cde...+abc*de...+abcd*e...+....at n=10A108721
• a(n) = Sum_{k=0..n/2} k*binomial(n-2*k, 3*k+2).at n=20A137361
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 1, -1), (1, 0, 0), (1, 1, 0)}.at n=8A150436
• Number of 2-sided strip polypons with n cells.at n=34A151533
• Number of n-cycles on the graph of the regular 120-cell, 3 <= n <= 600.at n=9A167984
• G.f.: Product_{k>=1} 1/(1-x^k)^(5*k).at n=8A255612
• Indices of rows of triangle A262432 where the maximum term of the row is a new record.at n=32A262464
• Number of n X 2 0..1 arrays with exactly n+2-2 having value 1 and no three 1s forming an isosceles right triangle.at n=18A272952
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 334", based on the 5-celled von Neumann neighborhood.at n=44A287736
• a(n) = n^2*(n*(4*n + 3) + 3*n*(-1)^n - 4)/96.at n=29A302758
• Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative.at n=41A344700
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(k*j,j) * binomial(k*(n-j),n-j).at n=59A358050
• a(n) = number of isogeny classes of p-divisible groups of abelian varieties of dimension n over an algebraically closed field of characteristic p (for any fixed prime p).at n=28A361721
• E.g.f. A(x) satisfies A(x) = exp(x^2 * A(x) / (1-x)^3).at n=6A389844