1892352

Appears in sequences

• 6-fold convolution of A000302 (powers of 4); expansion of 1/(1-4*x)^6.at n=6A045543
• a(n) = (0^n + 4^n * binomial(2*n,n))/2.at n=6A098402
• T(n,k)=Number of pairs of orthogonal (-x,y) vectors of length k*(x+y), where x/y is the n-th rational <= 1, ordered first by y and then x, e.g. 1/1, 1/2, 1/3, 2/3, 1/4, 3/4 ...at n=15A225987
• Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x+k)^k for 0 <= k <= n.at n=59A248826
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood.at n=20A288295
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 475", based on the 5-celled von Neumann neighborhood.at n=20A288501
• a(n) = max{A380114(n, k) : k = 0..n}.at n=12A380115