-63
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=41A000036
- The negative integers.at n=62A001478
- a(n) = -n.at n=63A001489
- Expansion of (eta(q) * eta(q^7))^3 in powers of q.at n=62A002656
- Coefficients of modular function G_4(tau).at n=8A005762
- Coefficients of the '2nd-order' mock theta function mu(q).at n=44A006306
- Coefficients of the '2nd-order' mock theta function mu(q).at n=33A006306
- Triangle of coefficients of Legendre polynomials P_n (x).at n=30A008316
- Expansion of e.g.f: (1+x)*cos(x).at n=63A009001
- Expansion of e.g.f. sech(log(cos(x))) (even exponents only).at n=4A012009
- Expansion of e.g.f. sin(tan(x)+arcsin(x)) (odd powers only).at n=2A012949
- exp(arctan(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...at n=5A012973
- sinh(arctan(x)+sin(x))=2*x+5/3!*x^3-63/5!*x^5+1087/7!*x^7...at n=2A012978
- exp(tanh(x)+arcsinh(x)) = 1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...at n=5A013154
- Expansion of e.g.f. log(cosh(x)-log(x+1)).at n=5A013497
- a(n) = (2*n - 13)*n^2.at n=3A015246
- a(n) = 1 - n^3.at n=4A024001
- a(n) = 1 - n^6.at n=2A024004
- a(n) = n*(-1)^n.at n=63A038608
- Column 1 of Inverse partition triangle A038498.at n=47A039800