-472

Appears in sequences

• Expansion of log(1+sinh(sinh(x))).at n=6A009347
• 9th differences of primes.at n=40A036270
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=50A068762
• Expansion of (1-x)/(1 + x^2 - x^3).at n=38A078031
• Expansion of phi(q^4) / phi(q) in powers of q where phi() is a Ramanujan theta function.at n=11A112128
• Expansion of chi(-x)^2 * chi(-x^2) in powers of x where chi() is a Ramanujan theta function.at n=57A143161
• Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1 + 2*x - x^2)^(n + 1)*Sum_{j >= 0} (j+1)^n*(-2*x + x^2)^j.at n=20A156901
• Expansion of phi(-x^3) / f(-x^2) in powers of x where phi(), f() are Ramanujan theta functions.at n=35A256636
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.at n=51A269756
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 294", based on the 5-celled von Neumann neighborhood.at n=45A271135
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 390", based on the 5-celled von Neumann neighborhood.at n=35A271601
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 646", based on the 5-celled von Neumann neighborhood.at n=27A273329
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 926", based on the 5-celled von Neumann neighborhood.at n=46A273779
• G.f.: 1/(1 + x/(1 + x^3/(1 + x^6/(1 + x^10/(1 + x^15/(1 + ... + x^(k*(k+1)/2)/(1 + ...))))))), a continued fraction.at n=19A285484
• Expansion of Sum_{k>=1} mu(k)*log(1 + x^k/(1 - x^k)^4)/k.at n=11A308291
• Alternating row sums of Riordan triangle A321198.at n=9A321200
• G.f. A(x) satisfies: A(x) = 1 - x^2 * A(x/(1 - x)) / (1 - x).at n=10A336970
• Expansion of e.g.f.: exp(exp(x) - 4*x - 1).at n=5A346739
• A(n,k) is the n-th term of the k-th inverse binomial transform of the Bell numbers (A000110); square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=50A361781
• a(n) = 1 + Sum_{k=2..n} (-1)^k * k * a(floor(n/k)).at n=47A361982