-969

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^19 in powers of x.at n=3A047644
• Triangle of coefficients, read by row polynomials P_n(y), that satisfy the g.f.: A096651(x,y) = Product_{n>=1} 1/(1-x^n)^[P_n(y)/n], with P_n(0)=0 for n>=1.at n=49A096800
• Riordan array (1/(1+x)^3,x/(1+x)^2).at n=62A109954
• Inverse of Riordan array (1/(1-x), x/(1-x)^4), A109960.at n=15A109962
• Inverse of twin-prime related triangle A111125.at n=51A113187
• Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).at n=41A124019
• Expansion of 1 - 3*(1-x-sqrt(1-2*x-3*x^2))/2.at n=10A168076
• G.f.: Sum_{n>=1} moebius(n)*x^n/(1 - Lucas(n)*x^n + (-1)^n*x^(2*n)), where Lucas(n) = A000204(n).at n=17A204291
• The sequence of coefficients of cubic polynomials p(x-n), where p(x) = x^3 - 3*x + 1.at n=43A218332
• Coefficient of x^3 in the minimal polynomial of the continued fraction [1^n,2^(1/3),1,1,...], where 1^n means n ones.at n=2A267081
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 358", based on the 5-celled von Neumann neighborhood.at n=41A271413
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 419", based on the 5-celled von Neumann neighborhood.at n=23A272048
• Expansion of Product_{k>0} (1 - x^k)^(k*3).at n=17A276552
• a(n) = n - 2^(sum of digits of n).at n=55A328882
• a(n) = Sum_{k=0..n} (-k)^(n-k) * Stirling2(n,k).at n=6A355375
• Quotient (A003961(k)-sigma(k)) / (2*k-A003961(k)) computed for those k for which this quotient is an integer, where A003961 is fully multiplicative with a(prime(i)) = prime(i+1).at n=22A379217