-1049

Appears in sequences

• Expansion of tanh(log(1+sinh(x))).at n=7A009772
• Numerators of expansion of a function eta(x) related to Cremer points.at n=18A058969
• a(n) = -n^2 + 9*n + 53.at n=38A126665
• Triangle, T(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k -j)!*j!) + Sum_{j=0..n-k} (-1)^j*(2*n-k)!/((n-j)!*(n-k-j)!*j!), read by rows.at n=10A176093
• Triangle, T(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k -j)!*j!) + Sum_{j=0..n-k} (-1)^j*(2*n-k)!/((n-j)!*(n-k-j)!*j!), read by rows.at n=14A176093
• G.f.: exp( Sum_{n>=1} A002129(n^2)*x^n/n ), where A002129(n) is the excess of sum of odd divisors of n over sum of even divisors of n.at n=24A225925
• a(n) = [x^n] (1/(1 + x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + x^5/(1 + ...)))))))^n, a continued fraction.at n=8A291651
• E.g.f.: exp(x/(1 + x + x^2)).at n=6A293571
• The function A(x) = x+(1/2)*x^2-(1/16)*x^4... = Sum_{k >= 0} x^k*a(k)/A381670(k) satisfies the functional equation: x*(A(x)+1) = A(A(x)).at n=10A381669