-107

Appears in sequences

• E.g.f. tan(sin(x)) (odd powers only).at n=3A003705
• a(n) = -Sum_{k = 0..n-1} (n+k)!a(k)/(2k)!.at n=6A007682
• arctan(arctan(x)*exp(x)) = x + 2/2!*x^2 - 1/3!*x^3 - 28/4!*x^4 - 107/5!*x^5 + ...at n=5A012411
• Triangle inverse to that in A046899.at n=21A046900
• First differences of chowla(n).at n=59A053246
• a(n) = Sum_{d|2n+1} phi(d)*mu(d).at n=54A054586
• McKay-Thompson series of class 84a for Monster.at n=44A058761
• a(n) = n*p(n+1)-(n+1)*p(n) = n*d(n)-p(n), where p(n) is the n-th prime and d(n) is the n-th prime-difference, A001223(n).at n=44A062357
• Signed primes: if prime(n) even, a(n) = 0; if prime(n) == 1 (mod 4), a(n) = prime(n); if prime(n) == -1 (mod 4), a(n) = -prime(n).at n=27A073579
• a(n) = A077110(n) - n^2.at n=48A077111
• Expansion of (1-x)^(-1)/(1-x+x^3).at n=35A077869
• Expansion of (1-x)^(-1)/(1-x+2*x^2-2*x^3).at n=18A077874
• Expansion of 1/(1 - x^2 - x^3 + x^4).at n=42A077905
• Expansion of q^(1/24) * eta(q) / eta(q^2) in powers of q.at n=51A081362
• a(n) = 1/2 + (1-6*n)*(-1)^n/2.at n=36A084060
• Partial sums of Mertens's function (A002321).at n=55A091555
• Expansion of (eta(q) * eta(q^39)) / (eta(q^3) * eta(q^13)) in powers of q.at n=64A094363
• a(n) = floor( prime(n-1)*A036263(n-2)/ A001223(n-1)).at n=26A094900
• Numerators of terms in series expansion of tan(sin(x)).at n=3A096712
• Alternating sum of diagonals in A060177.at n=36A104575