-510

Appears in sequences

• Expansion of Product_{k >= 1} (1 - x^k)^6.at n=64A000729
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=23A001484
• Expansion of Product_{k>=1} (1 - x^k)^18.at n=3A010824
• Expansion of e.g.f. sec(log(x+1)/exp(x)).at n=5A013566
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=53A062187
• G.f. A(x) defined by: A(x)^6 consists entirely of integer coefficients between 1 and 6 (A083946); A(x) is the unique power series solution with A(0)=1.at n=6A084206
• T(n, k) = Stirling1(n+1, k) - Stirling1(n, k-1), for 1 <= k <= n. Triangle read by rows.at n=18A094485
• a(n) = Sum[d|n, d==1 (mod 3), d^2] - Sum[d|n, d==2 (mod 3), d^2].at n=25A103440
• Expansion of q / (chi(q) * chi(q^3))^6 in powers of q where chi() is a Ramanujan theta function.at n=5A107653
• Inverse of Riordan array (1/(1-x), x/(1-x)^3), A109955.at n=24A109956
• G.f.: (1+x^2)^2*(x^4-6*x^3+1)/(x^2-1)^4.at n=11A115046
• a(0)=1, a(n) = 2 - 2^(n-1) for n>0.at n=10A122958
• a(0) = 1, a(n) = (-1)^n*(2-2^(n-1)) for n>0.at n=10A122959
• Expansion of phi(-x) / f(-x^4)^2 in powers of x where phi(), f() are Ramanujan theta functions.at n=33A137830
• A triangular sequence of coefficients based on the expansion of a Morse potential type function: p(x,t) = exp(x*t)*(exp(-2*t) - 2*exp(-t)).at n=45A138106
• Triangle A(k,n) = (-2)^k+2^n read by rows.at n=46A140589
• a(n) = n! - n^9.at n=2A144768
• A triangle of polynomial coefficients: p(x,n)=-(ChebyshevU[n, x] - ((x + 1)^n - (1 - x)^n)); sp(x,n) = p(x, n) + x^n*p(1/x, n).at n=43A155994
• A triangle of polynomial coefficients: p(x,n)=-(ChebyshevU[n, x] - ((x + 1)^n - (1 - x)^n)); sp(x,n) = p(x, n) + x^n*p(1/x, n).at n=52A155994
• Numerator of Bernoulli(n, -5/7).at n=3A158541