-363

Appears in sequences

• a(n) = -(n + 1)*(2*n^2 + n - 12)/6.at n=10A058372
• Coefficients of polynomials ( (1 -x +sqrt(x))^(n+1) - (1 -x -sqrt(x))^(n+1) )/(2*sqrt(x)).at n=57A061177
• Expansion of (1-x)/(1-x+x^2+2*x^3).at n=15A078017
• Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1 + x - 2*x^2)^n.at n=56A084612
• Numerator of b(n), where Sum_{k>=1} b(k)/k^r = 1/(Sum_{k>=1} H(k)/k^r). H(k) = Sum_{j=1..k} 1/j, the k-th harmonic number.at n=6A096663
• Expansion of 1/sqrt(1 - 2*x + 9*x^2).at n=7A098332
• Triangle, read by rows, equal to the right-hand side of the triangle A084610, with row n listing the coefficients of (1+x-x^2)^n: T(n,k) = [x^(n+k)] (1+x-x^2)^n, for n>=k>=0.at n=72A104505
• Diagonal sums of triangle A110324.at n=26A110326
• Expansion of psi(q^3) / psi(q)^3 in powers of q where psi() is a Ramanujan theta function.at n=9A132979
• Expansion of q^(-1) * psi(-q) / psi(-q^3)^3 in powers of q where psi() is a Ramanujan theta function.at n=28A133637
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,6}(x) with 0 omitted (exponents in increasing order).at n=37A136398
• a(n) = (3/2)*(1+(-3)^(n-1)).at n=6A165553
• Triangle T(n,m)= binomial(2*n,m) + binomial(2*n,n-m) -binomial(2*n,n) read by rows.at n=23A176564
• Triangle T(n,m)= binomial(2*n,m) + binomial(2*n,n-m) -binomial(2*n,n) read by rows.at n=25A176564
• Expansion of (psi(x^2) / psi(x))^3 in powers of x where psi() is a Ramanujan theta function.at n=7A187053
• Second differences of A000463; first differences of A188652.at n=26A188653
• Array T(n,k) read by ascending antidiagonals, where T(n,k) is the numerator of polygamma(n, 1) - polygamma(n, k).at n=35A255008
• Expansion of q^(-1) * psi(q) / psi(q^3)^3 in powers of q where psi() is a Ramanujan theta function.at n=28A258093
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 33", based on the 5-celled von Neumann neighborhood.at n=11A269813
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood.at n=11A269875