-575

Appears in sequences

• Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^3.at n=30A029840
• Expansion of (1-x)^(-1)/(1-2*x+2*x^3).at n=15A077853
• a(n) = 6^n(B_n(1/6)-B_n(0)) where B_n(x) is the n-th Bernoulli polynomial.at n=6A083010
• Triangular matrix, read by rows, where row n is formed from the first differences of row (n-1) of its inverse matrix square, with an appended '1' for the main diagonal.at n=18A102583
• Square array T(n,k) read by antidiagonals: numerators of Stirling numbers of first kind with negative argument S1(-n,k), n,k>=0.at n=24A103879
• Number of partitions of n with even crank minus number of partitions of n with odd crank.at n=49A124226
• a(n) = (-1)^n*n*(n-2).at n=24A131386
• a(2*n) = 1-n^2, a(2*n+1) = n*(n+1).at n=46A131723
• Expansion of phi(-x) * chi(-x) in powers of x where phi(), chi() are Ramanujan theta functions.at n=49A132970
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=23A141354
• Polynomial expansion sequence : p(x)=1 + x - x^5 + x^9 + x^10.at n=50A143605
• A symmetrical triangle sequence: T(n, k) = q^k + q^(n-k) - q^n, with q=5.at n=12A176226
• a(n) = Sum_{k=0..n} binomial(n,k)^2*binomial(n-k,k)^2*(-16)^k.at n=3A179537
• Values of n such that L(10) and N(10) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=3A227448
• a(n) = 1 - n^2.at n=24A258837
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood.at n=13A272052
• Expansion of Product_{k>0} ((1-x^{5k-2}) * (1-x^{5k-3})/((1-x^{5k-1}) * (1-x^{5k-4})))^3 in powers of x.at n=24A285443
• Sequence obtained by taking the general formula for generalized k-gonal numbers: m*((k - 2)*m - k + 4)/2, where m = 0, +1, -1, +2, -2, +3, -3, ... and k >= 5. Here k = 0.at n=46A317300
• Sequence obtained by taking the general formula for generalized k-gonal numbers: m*((k - 2)*m - k + 4)/2, where m = 0, +1, -1, +2, -2, +3, -3, ... and k >= 5. Here k = 0.at n=49A317300
• Expansion of e.g.f. exp(1 - 3*x - exp(x)).at n=5A367818