-48
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=33A000036
- The negative integers.at n=47A001478
- a(n) = -n.at n=48A001489
- Numerators of coefficients in an asymptotic expansion of the confluent hypergeometric function F(1-b; 2; 4b).at n=4A002073
- a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + Sum_{ primes p with 3 <= p <= n} a(n-p).at n=34A002121
- a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=13A002173
- a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=6A002173
- a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=27A002173
- Bisection of A002470.at n=2A002287
- Coefficients in the expansion of B^2*C^3 in Watson's notation of page 118.at n=90A002300
- Glaisher's function W(n).at n=4A002470
- Coefficients of a Dirichlet series.at n=11A002558
- Coefficients of a Dirichlet series.at n=38A002558
- Magnetization series for face-centered cubic lattice.at n=15A003196
- Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).at n=74A003823
- Expansion of (Sum x^(n^2), n = -inf .. inf )^(-24).at n=1A004425
- Coefficients of modular function G_2(tau).at n=27A005760
- Coefficients of the '2nd-order' mock theta function mu(q).at n=40A006306
- Triangle of coefficients of Chebyshev polynomials T_n(x).at n=14A008310
- Coefficients in expansion of (x-1)*(1+x)^(n-1), n > 0.at n=58A008482