-622

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=30A001484
• Shifts left when Moebius transformation applied twice.at n=36A007551
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 6.at n=33A060025
• Expansion of (1+x)^3/((1+x)^3+x^4).at n=17A099531
• a(n) = 4*a(n-2) - a(n-1), with a(0)=1, a(1)=-2.at n=7A122112
• Expansion of 1/(1+x*c(x)), c(x) the g.f. of Catalan numbers A000108.at n=9A126983
• Triangle T(n,k), 0<=k<=n, read by rows given by :[ -1,1,1,1,1,1,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.at n=45A127543
• Coefficients of the polynomial from factoring (x^167+1)/(x+1) modulo 2 gives: p(x)=1 + x + x^4 + x^6 + x^8 + x^10 + x^12 + x^13 + x^17 + x^19 + x^23 + x^24 + x^25 + x^26 + x^27 + x^29 + x^31 + x^32 + x^33 + x^35 + x^36 + x^40 + x^42 + x^45 + x^46 + x^47 + x^49 + x^50 + x^52 + x^53 + x^56 + x^59 + x^60 + x^62 + x^64 + x^67 + x^70 + x^71 + x^73 + x^76 + x^78 + x^81 + x^83.at n=50A158032
• Numerator of Hermite(n, 5/19).at n=2A159622
• Riordan array (1/(1+x*c(x)), x*c(x)) where c(x) is the g.f. of Catalan numbers (A000108).at n=45A237619
• a(1) = 1; a(n+1) = -Sum_{d|n} a(d)^(n/d).at n=46A307781
• Expansion of e.g.f. exp(x) / (2 - cos(x)).at n=7A348587
• The residue of p(n) modulo q(n) in the interval (-q(n)/2, q(n)/2], where p(n) = A000041(n) and q(n) = A000009(n).at n=49A386703