-493

Appears in sequences

• Triangle of Salie numbers T(n,k) for negative n,k, n < k.at n=17A098435
• Expansion of -x/((x^2+x+1)*(x^2+3*x+1)); invert transform gives signed version of tetrahedral numbers A000292.at n=7A113067
• Expansion of (1-3x)/(1-x^2+x^3).at n=21A117374
• First differences of A142705.at n=25A142888
• Sum of all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts.at n=28A235324
• Large-q series expansion for the exponential of the surface free energy of the square-lattice zero-temperature Potts antiferromagnet, in terms of the variable z = 1/(q - 1).at n=18A238835
• Signed version of A164984.at n=30A248810
• Numerators of inverse Riordan triangle of Riordan triangle A029635. Riordan (1/(1-x), x/(1+2*x)). Triangle read by rows for 0 <= m <= n.at n=39A251634
• Expansion of Product_{k>=1} (1 + x^(6*k))/(1 + x^k).at n=55A261736
• Triangle of coefficients of Gaussian polynomials [2n+7,6]_q represented as finite sum of terms (1+q^2)^k*q^(g-k), where k = 0,1,...,g with g=6n+3.at n=44A267486
• 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=31A271413
• Expansion of 1/((1-x)^2*(1-2*x+2*x^2)).at n=16A279230
• The Euclid tree with root 1 encoded by semiprimes, read across levels.at n=17A295512
• G.f. equals the logarithm of the e.g.f. of A296174.at n=2A296175
• a(n) = [x^n] Product_{d|n} 1/(1 + x^d).at n=63A300548
• a(n) = Sum_{k=0..floor(n/8)} (-1)^k * binomial(n-4*k,4*k).at n=16A348309
• a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(n*(n-k),n*k).at n=4A348321
• Martingale win/loss triangle, read by rows: T(n,k) = total number of dollars won (or lost) using the martingale method on all possible n trials that have exactly k losses and n-k wins, for 0 <= k <= n.at n=53A355659
• The inverse Euler transform of p(n) = n if n is prime, otherwise 1.at n=18A358452
• Elliptic net associated to y^2 + y = x^3 + x^2 - 2*x, based on the non-torsion generator points P = [0, 0] and Q = [1, 0].at n=40A374833