-96
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=55A000036
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=6A002288
- Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=3A006352
- Reversion of g.f. for Euler numbers A000111(n-1).at n=8A007316
- Expansion of tanh(log(1+1/x)).at n=4A009769
- Specific heat coefficients for square lattice spin 1 Ising model.at n=4A010111
- exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6...at n=6A013082
- Triangle of coefficients of Laguerre polynomials n!*L_n(x) (rising powers of x).at n=11A021009
- Triangle of coefficients of Laguerre polynomials L_n(x) (powers of x in decreasing order).at n=13A021010
- Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x).at n=11A021012
- Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x).at n=13A021012
- Expansion of Product_{m >= 1} (1-m*q^m)^16.at n=3A022676
- Expansion of eta(q^2)^12 / theta_3(q)^3 in powers of q.at n=23A029769
- Expansion of eta(q^2)^12 / theta_3(q)^3 in powers of q.at n=11A029769
- Inverse Euler transform of {1, primes}.at n=31A030011
- Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=19A030181
- Expansion of (eta(q) * eta(q^2) * eta(q^3) * eta(q^6))^2 in powers of q.at n=41A030209
- Expansion of (eta(q) * eta(q^2) * eta(q^3) * eta(q^6))^2 in powers of q.at n=46A030209
- Expansion of (eta(q) * eta(q^2) * eta(q^3) * eta(q^6))^2 in powers of q.at n=34A030209
- Expansion of q^(-1/2) * (eta(q) * eta(q^2))^4 in powers of q.at n=10A030211