36478

Appears in sequences

• Matrix cube of triangle U = A136228, read by rows.at n=32A136236
• Square array of coefficients in the successive iterations of x*C(x) = (1-sqrt(1-4*x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals.at n=52A158825
• Third iteration of x*C(x) where C(x) is the Catalan function (A000108).at n=7A158826
• a(n) = prime(n)^2-3.at n=42A182200
• Number of (n+1)X3 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors.at n=2A205240
• Number of (n+1)X4 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors.at n=1A205241
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors.at n=7A205246
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors.at n=8A205246
• Values of c such that p^2-c and p^2+c are both positive primes, for the special case when p^2-c = 3, or c = p^2-3, where p is a prime.at n=13A274610
• Expansion of Product_{k>0} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=35A320067