-37
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=29A000036
- The negative integers.at n=36A001478
- a(n) = -n.at n=37A001489
- Numerators of Van der Pol numbers.at n=8A003164
- E.g.f. cos(sin(x)) (even powers only).at n=3A003709
- Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).at n=43A003823
- Expansion of e.g.f. arctan(exp(x)*log(x+1)).at n=4A012276
- E.g.f.: arctan(sec(x)*log(x+1)) = x - 1/2!*x^2 + 3/3!*x^3 - 37/5!*x^5 + 345/6!*x^6 - ...at n=5A012775
- sech(sec(x)*sinh(x))=1-1/2!*x^2-11/4!*x^4-37/6!*x^6+7145/8!*x^8...at n=3A012820
- a(n) = 2 - n.at n=39A022958
- a(n) = 3-n.at n=40A022959
- a(n) = 4-n.at n=41A022960
- a(n) = 5-n.at n=42A022961
- a(n) = 6-n.at n=43A022962
- a(n) = 7-n.at n=44A022963
- a(n) = 8-n.at n=45A022964
- a(n) = 9-n.at n=46A022965
- a(n) = 10-n.at n=47A022966
- a(n) = 11-n.at n=48A022967
- a(n) = 12-n.at n=49A022968