-651

Appears in sequences

• Expansion of (1-x)^sin(x).at n=7A007119
• Expansion of Product_{m>=1} (1 - m*q^m)^7.at n=9A022667
• Expansion of Product_{m >= 1} (1-m*q^m)^14.at n=4A022674
• a(n) = A000217(n) - A048702(n).at n=64A075113
• Inverse image of primes 2,3,5,7,... under the map Q defined in A095172.at n=65A095174
• G.f. satisfies: A(x) = 1/(1 + x*A(x^7)) and also the continued fraction: 1 + x*A(x^8) = [1; 1/x, 1/x^7, 1/x^49, 1/x^343, ..., 1/x^(7^(n-1)), ...].at n=33A101917
• Coefficient table for sums of squares of Chebyshev's S-Polynomials.at n=49A128495
• Expansion of ((phi(q) * phi(-q^2)^2)^2 - 1) / 4 in powers of q where phi() is a Ramanujan theta function.at n=49A138505
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of A203945.at n=49A203946
• Series expansion of the reciprocal of the generating function of A068432.at n=51A207814
• Coefficient array for the cube of Chebyshev's S polynomials.at n=59A219240
• Array of coefficients of powers of x^2 for S(2*n,x)^3 with Chebyshev's S polynomials A049310.at n=16A220666
• Coefficients of powers of x^2 of polynomials, called h(2,n,x^2), appearing in a conjecture on alternating sums of fifth powers of odd-indexed Chebyshev S polynomials stated in A220671.at n=18A220672
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood.at n=17A272152
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 5/4.at n=23A279677
• G.f.: Re((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=54A292042
• Expansion of Product_{k>=1} (1 - x^prime(k))^prime(k).at n=27A300521
• Triangle read by rows: T(0,0) = 1; T(n,k) = T(n-1,k) - 2*T(n-1,k-2) + T(n-1,k-3) for k = 0..3n; T(n,k)=0 for n or k < 0.at n=85A318686
• Expansion of g.f. A(x,y) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + y*A(x,y)) = 1 + (y+1) * Sum_{n>=1} x^(n*(n+1)/2), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y) read by rows.at n=59A370140