25264

Appears in sequences

• a(n) = A047080(2*n, n+1).at n=9A047087
• The exponential generating function A(x) = Sum a(j) x^j/j! satisfies the functional equation A(x)=1+x*(A(x))*(1-log(A(x))).at n=8A080073
• Number of permutations of length n which avoid the patterns 231, 1432, 4123.at n=15A116734
• Exponent of least power of 2 having exactly n consecutive 7's in its decimal representation.at n=8A131541
• E.g.f.: A(x) = Sum_{n>=0} (-log(1-x))^[n*phi] / [n*phi]!, where [n*phi] = A000201(n), the lower Wythoff sequence, and phi = (1+sqrt(5))/2.at n=8A184818
• Number of cryptarithms of the form x + y = z in base n for which no summand contains any letter more than once and for which the solution is unique.at n=3A277496
• Irregular triangle read by rows: T(N,k) (0 <= k <= 4*N^2) are coefficients of cluster density function for site percolation on a 2*N X 2*N 2D hexagonal lattice with periodic boundary conditions.at n=14A365944