-191

Appears in sequences

• Numerators of coefficients for numerical integration.at n=3A002195
• Numerators of coefficients in expansion of cube root of sin(x).at n=4A008993
• Expansion of e.g.f. log(1+x)/exp(tanh(x)).at n=6A009439
• Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-6.at n=3A015102
• a(n) = (a(n-1)*a(n-3) - a(n-2)^2) / a(n-4), with a(0) = 0, a(1) = a(2) = a(3) = 1, a(4) = -1.at n=13A050512
• A variation on A056223.at n=57A051171
• Numerators of continued fraction for left factorial.at n=17A056889
• a(n) = mu(n)*prime(n).at n=42A062007
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=32A068762
• Signed primes: if prime(n) even, a(n) = 0; if prime(n) == 1 (mod 4), a(n) = prime(n); if prime(n) == -1 (mod 4), a(n) = -prime(n).at n=42A073579
• Expansion of (1-x)^(-1)/(1+2*x^2-2*x^3).at n=13A077891
• Expansion of 1/(1+2*x^2-x^3).at n=21A077965
• A measure of how close r^n is to an integer where r is the real root of x^3-x-1, i.e.. r = (1/2 + sqrt(23/108))^(1/3) + (1/2 - sqrt(23/108))^(1/3) = 1.3247.... (Higher absolute value of a(n) means closer, negative means less than closest integer.)at n=40A084252
• Expansion of -(3 - x + 2*x^2) / (1 - x^3 + x^4).at n=33A110063
• Expansion of (1 + x) / (5*x^2 - 2*x + 1).at n=8A116483
• Expansion of Product_{k>=1} (1 + x^k)^lambda(k) where lambda(k) is the Liouville function, A008836.at n=57A118207
• a(n) = A118443(n)/(n+1), where A118443 is the row sums of triangle A118441.at n=8A118444
• a(n) = Sum_{k=0..n} (-1)^(n-k)*(n!/k!)^2*binomial(n-1,k-1).at n=4A119394
• a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3) - 2*a(n - 4) + a(n - 5).at n=25A122582
• a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3) - 6*a(n - 4) + 3*a(n - 5).at n=13A122583