-177

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=6A001487
• Numerators of Van der Pol numbers.at n=11A003164
• Expansion of e.g.f. cos(tanh(x)) (even powers only).at n=3A003711
• sech(sec(x)*tan(x))=1-1/2!*x^2-15/4!*x^4-177/6!*x^6+8225/8!*x^8...at n=3A012800
• Reversion of y - y^2 + y^4 + y^5.at n=8A063034
• a(n) = + 1 - 2 - 3 + 4 + 5 + 6 - 7 - 8 - 9 - 10 + 11 + 12 + 13 + 14 + 15 - ... + (+-1)*n, where there is one plus, two minuses, three pluses, etc. (see A002024).at n=56A064520
• a(n) = -a(n-1) - a(n-2) + a(n-3), a(0)=3, a(1)=-1, a(2)=-1.at n=21A073145
• Partial sums of A073579.at n=35A077039
• Partial sums of A073579.at n=39A077039
• First order recursion: a(0)=1; a(n) = sigma(1,n) - a(n-1).at n=31A083238
• 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=38A084252
• Semiprime(n)*semiprime(n+3) - semiprime(n+1)*semiprime(n+2), where semiprime(n) is the n-th semiprime.at n=17A118780
• G.f.: 1/(1 -2 x^3 - x^4 + x^5).at n=21A122518
• {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=54A126761
• Expansion of x/(1+x-x^3-x^5-x^6-x^7-x^9+x^11+x^12).at n=35A143606
• a(n) = Sum_{i=0..n-1} K(i,n)*i, where K(,) is Kronecker symbol.at n=58A228131
• a(n) = (3 - 6*n)*(-1)^n.at n=30A228935
• Difference between sums of quadratic residues and non-residues modulo n that are coprime to n.at n=58A255643
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=58A255644
• Triangle read by rows: coefficients for predictor y(x_1) for step-by-step integration.at n=7A260780