-1820

Appears in sequences

• E.g.f. exp(log(1+x)*cos(x)).at n=8A009192
• Expansion of Product (1 - x^k)^10 in powers of x.at n=19A010818
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^14 in powers of x.at n=5A047639
• Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3).at n=15A057383
• Coefficient array for certain polynomials N(4; k,x) (rising powers in x).at n=33A062751
• Triangle T read by rows: inverse of fibonomial triangle (A010048).at n=40A103910
• a(n) = -n^2 - n + 72.at n=43A110678
• Expansion of q*psi(q^9)/psi(q) in powers of q.at n=35A124243
• Expansion of (1/3) * (c(q^2)^2 / c(q)) / (b(q^2)^2 / b(q)) in powers of q where b(), c() are cubic AGM theta functions.at n=11A128640
• Difference between sums of quadratic residues and non-residues modulo n that are coprime to n.at n=90A255643
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 187", based on the 5-celled von Neumann neighborhood.at n=29A270676
• Expansion of r(q)^4 / r(q^4) in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=30A285629
• First term of n-th difference sequence of (round(k*phi)), phi = golden ratio = (1+sqrt(5))/2, k >= 0.at n=15A325844
• G.f.: Sum_{n>=0} (x^(2*n-1) + 1)^n * x^n / (1 + x^(2*n+1))^(n+1), an even function.at n=44A326602
• T(j,k) are the numerators s in the representation R = s/t + (2/Pi)*u/v of the resistance between two nodes separated by the distance vector (j,k) in an infinite square lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= j, is a triangle read by rows.at n=50A355565
• G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^4).at n=8A364737
• Irregular triangular array: row n is the linear recurrence signature of F(i)^n - F(i-1)^n, where F = A000045 (Fibonacci numbers).at n=29A379048