40896

Appears in sequences

• 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=9A080073
• a(n+3) = 3*a(n+2) + 5*a(n+1) + a(n), a(0) = 0, a(1) = 1, a(2) = 8.at n=8A110527
• a(n) = 14*a(n-1)-46*a(n-2) for n > 1; a(0) = 1, a(1) = 8.at n=5A162758
• Number of binary strings of length n with equal numbers of 00001 and 01000 substrings.at n=16A164197
• T(n,k) = Number of n-turn rook's tours on a k X k board summed over all starting positions.at n=41A187189
• Number of 6-turn rook's tours on an n X n board summed over all starting positions.at n=3A187193
• Expansion of psi(x^4) / f(-x) in powers of x where psi(), f() are Ramanujan theta functions.at n=38A226635
• G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} A200536(n,2*n-k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,2*n-k) is the coefficient of x^k in (2+3*x+x^2)^n.at n=17A251689
• Partial sums of A029940 (Product_{d|n} phi(d)).at n=40A280131
• Expansion of Product_{k>=1} (1 + x^k)^(k*(5*k-3)/2).at n=10A294837
• Number of ways of placing A352426(n) nonattacking white-square queens on an n X n board.at n=18A352599