-1364

Appears in sequences

• Expansion of square of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=46A055101
• Fibonacci-type sequence based on subtraction: a(0) = 1, a(1) = 2 and a(n) = a(n-2) - a(n-1).at n=16A061084
• a(n) = -5*a(n-1) - 4*a(n-2), a(0)=1, a(1)=0.at n=6A084240
• a(n) = -a(n-1) + 2*a(n-2), a(0)=1, a(1)=2.at n=12A084247
• Expansion of (1+x-4*x^2) / ((1+x)*(1-4*x^2)).at n=12A087213
• Array T(r,c) read by antidiagonals: values of triangle A098493 interpreted as polynomials, r >= 0.at n=73A098495
• Triangle read by rows: T(n,k) is the coefficient [x^k] of (-1)^n times the characteristic polynomial of the Cartan matrix for the root system D_n.at n=50A129862
• Triangle of coefficients of characteristic polynomials of a special type of Cartan matrix: E_n for E_6,E_7,E_8,E_11 example M(6)/ E_6: {{2, -1, 0, 0, 0, 0}, {-1, 2, -1, 0, 0, 0}, {0, -1, 2, -1, 0, -1}, {0, 0, -1, 2, -1, 0}, {0, 0, 0, -1, 2, 0}, {0, 0, -1, 0, 0, 2}},.at n=50A136600
• a(n) = (1/3)*(1 - (-2)^n + 3*(-1)^n ) = (-1)^(n+1)*A167030(n).at n=12A167193
• G.f.: Product_{n>=1} (1 - Lucas(n)*x^n + (-1)^n*x^(2*n)) where Lucas(n) = A000204(n).at n=15A203860
• G.f.: Product_{n>=1} (1 - Lucas(n)*x^n + (-1)^n*x^(2*n)) where Lucas(n) = A000204(n).at n=29A203860
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 131", based on the 5-celled von Neumann neighborhood.at n=23A270224
• Expansion of R(x*R(x)), where R(x) = 1/(1 + x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + ...))))), a continued fraction (g.f. for A007325).at n=13A295703
• First term of n-th difference sequence of (floor(k*r)), r = sqrt(8), k >= 0.at n=13A325674
• First term of n-th difference sequence of (floor(k*r)), r = 1/2 + sqrt(2), k >= 0.at n=15A325733
• Expansion of 1/Sum_{k>=0} x^(k^4).at n=70A352529
• Expansion of Sum_{k>0} k * x^k/(1 + x^k)^3.at n=43A364343