65527

Appears in sequences

• Numerator of Sum_{i=1..n} i/2^i.at n=16A036295
• Pascal-(1,5,1) array.at n=60A081580
• Expansion of 1/sqrt((1-7*x)^2-24*x^2).at n=5A098659
• G.f. is the polynomial (Product_{k=1..22} (1 - x^(3*k)))/(1-x)^22.at n=5A162679
• a(n) = 4*2^n - 9.at n=13A172252
• Expansion of o.g.f. x*(1 - x + x^2)/(1 -3*x +x^2 +3*x^3 -2*x^4).at n=16A173009
• a(n) = 2^n - 9.at n=16A185346
• Monotonic ordering of nonnegative differences 4^i-9^j, for 40>= i>=0, j>=0.at n=26A192169
• a(n) = T(10,n), array T given by A047858.at n=12A195858
• Triangle read by rows, coefficients of the generalized Eulerian polynomials A_{n, 3}(x) in descending order.at n=43A225117
• Number of (6+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=17A254912
• Least positive integer k such that both k and k*n belong to the set {m>0: prime(m)+2 is prime with prime(prime(m)+2) = prime(prime(m))+6}.at n=6A261528
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 950", based on the 5-celled von Neumann neighborhood.at n=15A284482
• 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 347", based on the 5-celled von Neumann neighborhood.at n=15A287751
• a(n) = 4^n - n - 1.at n=7A290721
• a(n) = 2^n - floor((n+3)/2).at n=16A320933
• a(n) = Sum_{k=0..n} binomial(n,k) * binomial(n+k,k) * n^(n-k).at n=5A335309
• E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x^2*A(x)^2) ).at n=6A376558