-713

Appears in sequences

• McKay-Thompson series of class 6a for Monster.at n=3A007260
• Expansion of square of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=48A055101
• a(n) = -n^2 + 9*n + 23.at n=32A126719
• a(n) = 7 + 12*n - 6*n^2.at n=12A157517
• G.f.: Sum_{n>=0} x^n * (1 - x^n)^n.at n=68A260180
• Expansion of Product_{k>=1} 1 / (1 + k*x^k)^k.at n=11A266971
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood.at n=17A271688
• Let f(x) = 1 -x^3+ Sum_{j>=2} (x^(2^j)-x^(1+2^j)). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).at n=30A271726
• Coefficients in the expansion of ([s] + [2s]x + [3s]x^2 + ...)/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(2), s = sqrt(3).at n=31A279628
• Expansion of exp( Sum_{n>=1} -A283533(n)/n*x^n ) in powers of x.at n=3A283534
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-x^j)^(j^(k*j)) in powers of x.at n=18A283675
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-j^(k*j)*x^j) in powers of x.at n=18A294653
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-j^(k*j)*x^j)^j(k*j) in powers of x.at n=13A294699
• Expansion of Product_{k>=1} (1 - k^k*x^k)^(k^k).at n=3A294704
• Array T(n, m) read by ascending antidiagonals: numerators of shifted Bernoulli numbers B(n, m) where m >= 0.at n=33A338873