-61
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=40A000036
- The negative integers.at n=60A001478
- a(n) = -n.at n=61A001489
- Generalized sum of divisors function: excess of sum of odd divisors of n over sum of even divisors of n.at n=31A002129
- Expansion of E.g.f.: cos(cosh(x)*x) (even powers only).at n=3A009016
- Expansion of log(1+sin(x))*cosh(x).at n=6A009333
- Expansion of log(1+sin(x))/cosh(x).at n=6A009336
- Expansion of log(1 + tanh(x))/cos(x).at n=6A009391
- arcsinh(log(cos(x)))=-1/2!*x^2-2/4!*x^4-1/6!*x^6+148/8!*x^8-61/10!*x^10...at n=5A012004
- Numerators of coefficients in Taylor series expansion of log(cosec(x)*tanh(x)).at n=3A012860
- Expansion of e.g.f. arctan(exp(x) - sec(x)).at n=7A013331
- Expansion of Product_{m>=1} (1-m*q^m).at n=12A022661
- Expansion of e.g.f. Gudermannian(x) = 2*arctan(exp(x)) - Pi/2.at n=3A028296
- E.g.f. 1/(1+sin(x)+sin(x)^2).at n=5A029585
- a(n) = n!*(4*n^3 - 30*n^2 + 40*n + 3)/24.at n=0A034863
- a(n) = n*(-1)^n.at n=61A038608
- Smallest (in magnitude) nonzero number m such that n!+m is prime.at n=30A053714
- Smallest (in magnitude) nonzero number m such that n!+m is prime.at n=54A053714
- a(n) = n * mu(n), where mu is the Möbius function A008683.at n=60A055615
- Numbers n where 36n^2+24n+7 is prime (sorted by absolute values with negatives before positives).at n=45A056902