-466

Appears in sequences

• Expansion of e.g.f.: tan(log(1+sin(x))).at n=6A009637
• Let f(n) = A004001(n)^2 - A005185(n)^2. Then a(n) = f(abs(f(n-1))) + f(abs(n - f(n-1))).at n=31A121459
• Numerator of Hermite(n, 8/19).at n=2A159646
• Numerator of Hermite(n, 14/25).at n=2A160060
• 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)=2, k=-2 and l=0.at n=7A177113
• a(n) = Sum_{k=0..n-1} (-1)^k*k^2*A000172(k).at n=4A207320
• Expansion of q / (chi(q) * chi(q^2) * chi(q^3) * chi(q^6))^2 in powers of q where chi() is a Ramanujan theta function.at n=17A212770
• Triangle T(n,k), read by rows, given by T(n,0)=1, T(n,1)=2^(n+1)-n-2, T(n,n)=(-1)^(n-1) for n > 0, T(n,k)=T(n-1,k)-T(n-1,k-1) for 1 < k < n.at n=38A232774
• Second differences of A038580.at n=52A245175
• E.g.f. A = A(x,y) satisfies: A^2 + B^2 + C^2 = 1 + y^2 and A^3 + B^3 + C^3 = 1 + y^3, where functions B = B(x,y) and C = C(x,y) are described by A278886 and A278887, respectively.at n=45A278885
• a(n) is the smallest error in trying to solve n^4 = x^4 + y^4. That is, for each n from 2 on, find positive integers x and y, x <= y < n such that |n^4 - x^4 - y^4| is minimal and let a(n) = n^4 - x^4 - y^4.at n=10A308834