-74
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=46A000036
- From fundamental unit of Z[ (-n)^{1/4} ].at n=31A006829
- Expansion of e.g.f. exp(tanh(log(1+x))).at n=6A009257
- Expansion of e.g.f.: exp(x + sin(x)).at n=6A009282
- Expansion of e.g.f.: log(1+tan(x)/exp(x)).at n=4A009382
- Expansion of e.g.f.: log(1 + tanh(x)*exp(x)).at n=6A009395
- Expansion of 1/sqrt(1 - 4*x + 16*x^2).at n=4A012000
- Expansion of e.g.f. log(arctanh(x) + exp(x)).at n=4A013167
- Expansion of Product_{m >= 1} (1 + q^m)^(-2).at n=19A022597
- 7th differences of primes.at n=42A036268
- 8th differences of primes.at n=35A036269
- Solutions t to the equation s*prime(n) + t*prime(n+1) = 1 with |s| as small as possible.at n=34A045893
- Dirichlet inverse of sigma function (A000203).at n=72A046692
- Start with 0, run through primes >=5, adding if -1 mod 6, subtracting if +1 mod 6.at n=20A051356
- Expansion of square of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=21A055101
- McKay-Thompson series of class 18e for the Monster group.at n=13A058543
- McKay-Thompson series of class 18h for Monster.at n=39A058546
- McKay-Thompson series of class 33A for Monster.at n=49A058636
- Generalized sum of divisors function: second diagonal of A060184.at n=54A060185
- Generalized sum of divisors function: third diagonal of A060184.at n=38A060186