-313

Appears in sequences

• Numerators of coefficients in Taylor series expansion of log(cotan(x)*arctan(x)).at n=3A012867
• Imaginary Rabbits: imaginary part of a(0)=i; a(1)=-i; a(n) = a(n-1) + i*a(n-2), with i = sqrt(-1).at n=18A014291
• Expansion of (1-x) / (1+x^2+2*x^3).at n=18A078033
• First order recursion: a(0) = 1; a(n) = phi(n) - a(n-1) = A000010(n) - a(n-1).at n=58A083239
• a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = 1, a(2) = 0.at n=19A105578
• Expansion of c(q^4) / c(q) in powers of q where c() is a cubic AGM theta function.at n=26A123649
• Expansion of q^(-1/3) * a(q) * b(q) * c(q) / 3 in powers of q where a(), b(), c() are cubic AGM theta functions.at n=60A130539
• G.f.: Product_{k>0} (1-x^(4k-1)) / (1-x^(4k-2)).at n=45A131795
• Numerator of Hermite(n, 5/26).at n=2A160071
• a(n) = A174817(n) - Mnr; where Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131.at n=5A174818
• Expansion of q * (psi(q) / psi(q^2)) / (psi(q^3) / psi(q^6))^3 in powers of q where psi() is a Ramanujan theta function.at n=26A187153
• Expansion of psi(q) * psi(q^2) * psi(q^6) / psi(q^3)^3 in powers of q where psi() is a Ramanujan theta function.at n=27A213265
• Sum{gcd(k^2 + t^2, n) * cos(2*Pi*(k^2 + t^2)/n): 0<k,t<=n}.at n=38A239444
• L.g.f.: log(Product_{k>=1} (1 + x^k/(1 - x))) = Sum_{k>=1} a(k)*x^k/k.at n=35A307761
• Array T(n, m) read by ascending antidiagonals: numerators of shifted Bernoulli numbers B(n, m) where m >= 0.at n=47A338873
• Product_{n>=1} (1 + x^n)^a(n) = 1 + x + Sum_{n>=2} prime(n-1) * x^n.at n=39A353161
• a(n) = Product_{i=1..n} p(i) - p(n+1)^3, where p(i) is the i-th prime.at n=2A360511
• Expansion of (1/x) * Series_Reversion( x * (1+x^3/(1-x))^3 ).at n=9A369081
• G.f. A(x) satisfies A(x) = 1 - x/A(x)^3 * (1 - A(x) - A(x)^4).at n=8A371890