-1076

Appears in sequences

• a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=34A002122
• A triangular sequence from a Beraha type recursive polynomial using 5 X 5 centered tridiagonal matrices with chromatic polynomial central roots to its characteristic polynomial.at n=25A123969
• Triangle: p(x) = (1 - t/c)*(1 - t)^(-x - b); c = 1/2; b = 1.at n=23A137376
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 598", based on the 5-celled von Neumann neighborhood.at n=39A273152
• G.f. A(x) satisfies: 1/(1 + x) = A(x)*A(x^2)^2*A(x^3)^3*A(x^4)^4* ... *A(x^k)^k* ...at n=22A307657
• L.g.f.: log(Product_{k>=1} (1 + x^k/(1 + x))) = Sum_{k>=1} a(k)*x^k/k.at n=9A307762
• G.f. satisfies: A(x) = 1/(1 - x) * Product_{k>0} A(x^(2*k)) / Product_{k>1} A(x^(2*k-1)).at n=39A321088
• a(n) is the numerator of the coefficient c_(2n+1) in the expansion Sum_{k=1..j} 1/(k*(k+1)/2)^2 = Sum_{m>=0} c_m/j^m for large values of j.at n=5A340277