-43
domain: Z
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives closest integer to P(A000099(n)).at n=31A000036
- The negative integers.at n=42A001478
- a(n) = -n.at n=43A001489
- a(n+1) = a(n)-a(1)a(2)...a(n-1), if n>0. a(0)=1, a(1)=2.at n=8A003687
- G.f.: Product_{k>0} (1-x^(5k-1))*(1-x^(5k-4))/((1-x^(5k-2))*(1-x^(5k-3))).at n=54A007325
- Expansion of e.g.f: (1+x)*cos(x).at n=43A009001
- Expansion of log(1+log(1+sinh(x))).at n=4A009309
- Expansion of tan(tanh(x)*cos(x)).at n=2A009720
- Numerator of [x^n] in the Taylor series arccosh(exp(x) - tan(x)) = x - x^2/6 - x^3/72 - 43*x^4/432 - 221*x^5/10368 - 89513*x^6/2177280 - ...at n=3A013307
- a(n) = Fibonacci(n) - n^2.at n=8A014283
- Expansion of Product_{m>=1} (1+q^m)^(-3).at n=9A022598
- a(n) = 2 - n.at n=45A022958
- a(n) = 3-n.at n=46A022959
- a(n) = 4-n.at n=47A022960
- a(n) = 5-n.at n=48A022961
- a(n) = 6-n.at n=49A022962
- a(n) = 7-n.at n=50A022963
- a(n) = 8-n.at n=51A022964
- a(n) = 9-n.at n=52A022965
- a(n) = 10-n.at n=53A022966