-197

Appears in sequences

• 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=14A050512
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=34A068762
• Signed super-Catalan or little Schroeder numbers.at n=5A080243
• Expansion of (1 - x)/(1 - 2*x + 3*x^2) in powers of x.at n=11A087455
• a(n) = floor( prime(n-1)*A036263(n-2)/ A001223(n-1)).at n=43A094900
• Expansion of x/((1-x)*sqrt(1+4*x^2)).at n=12A104551
• Expansion of x/((1-x)*sqrt(1+4*x^2)).at n=11A104551
• Expansion of g.f. (1-x+x^2)/(1+x-x^3).at n=34A104771
• Riordan array ((1-x+sqrt(1-6x+x^2))/2, (1+x-sqrt(1-6x+x^2))/4).at n=29A117354
• Expansion of (1-4x)/(1-x^2+x^3).at n=17A117379
• a(n) = -n^2 + 9*n + 23.at n=20A126719
• {a(k)} is such that, for every positive integer n, the n-th prime = Sum_{k=1..n, gcd(k,n+1)=1} a(k).at n=41A126761
• Numerator of Laguerre(n, 4).at n=8A160627
• a(0) = 1, a(1) = 2, a(3) = 3, a(n) = a(n-1) - a(n-3).at n=34A165192
• A generalized Catalan number sequence.at n=15A174015
• a(n) = A174817(n) - Mnr; where Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131.at n=3A174818
• Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=1, k=-1 and l=0.at n=7A176855
• Numerator in fraction A180878/A060818.at n=8A180878
• Prime-generating polynomial: a(n) = 2*n^2 - 108*n + 1259.at n=28A211773
• Prime-generating polynomial: a(n) = 2*n^2 - 108*n + 1259.at n=26A211773