-55
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=36A000036
- Expansion of Product_{n>=1} (1-x^n)^5.at n=55A000728
- Expansion of Product_{n>=1} (1-x^n)^5.at n=33A000728
- The negative integers.at n=54A001478
- a(n) = -n.at n=55A001489
- A sixth-order linear divisibility sequence: a(n+6) = -3*a(n+5) - 5*a(n+4) - 5*a(n+3) - 5*a(n+2) - 3*a(n+1) - a(n).at n=12A005120
- Coefficients of modular function G_2(tau).at n=24A005760
- Expansion of e.g.f: (1+x)*cos(x).at n=55A009001
- Expansion of e.g.f.: exp(tan(tanh(x))).at n=7A009241
- Expansion of log(1+tan(log(1+x))).at n=4A009363
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=3A010819
- Stirling numbers of first kind S1(11,n).at n=9A011521
- Expansion of e.g.f. log(cos(x) + log(x+1)).at n=4A013009
- exp(arcsinh(x)+arctan(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-55/5!*x^5...at n=5A013103
- sin(arctanh(x)+arcsin(x))=2*x-5/3!*x^3-55/5!*x^5-1535/7!*x^7...at n=2A013171
- Expansion of e.g.f.: exp(cos(x)-exp(x))=1-x-1/2!*x^2+4/3!*x^3+5/4!*x^4-32/5!*x^5...at n=6A013468
- Numerator of the coefficient of [x^n] in the Taylor expansion exp(cot(x) - cosech(x)).at n=3A013550
- Numerator of [x^n] in the Taylor expansion of exp(cosech(x)-coth(x)).at n=7A013559
- Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-4.at n=3A015099
- Zeroth row of infinite Latin square heading to -oo.at n=23A019585