-88

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=51A000036
• Expansion of Product_{k>=1} (1 - x^k)^12.at n=3A000735
• a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=19A002122
• Coefficients of Jacobi Eisenstein series of index 1 and weight 6.at n=3A003782
• Coefficients of Jacobi cusp form of index 1 and weight 12.at n=4A003785
• Percolation series for directed square lattice.at n=8A006461
• E.g.f. exp(sin(x)^2) (even powers only).at n=3A009217
• E.g.f. exp(tanh(x)^2) (even powers only).at n=3A009277
• sin(sin(x)*sin(x)) = 2/2!*x^2 - 8/4!*x^4 - 88/6!*x^6 + 6592/8!*x^8 - ...at n=3A009486
• Expansion of e.g.f.: sin(tanh(x)*exp(x)).at n=6A009528
• arcsin(arcsin(arctan(x)))=x+12/5!*x^5-88/7!*x^7+13968/9!*x^9...at n=3A012088
• Duplicate of A009486.at n=3A012295
• Expansion of e.g.f. arcsinh(sin(x)*sin(x)), even-indexed terms only.at n=3A012299
• cos(sinh(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-88/6!*x^6+1152/8!*x^8...at n=3A013030
• exp(tanh(x)+arctan(x))=1+2*x+4/2!*x^2+4/3!*x^3-16/4!*x^4-88/5!*x^5...at n=5A013140
• sinh(tanh(x)+arctan(x))=2*x+4/3!*x^3-88/5!*x^5+2496/7!*x^7...at n=2A013146
• Expansion of (eta(q) * eta(q^2) * eta(q^3) * eta(q^6))^2 in powers of q.at n=30A030209
• Expansion of q^(-1/2) * (eta(q) * eta(q^2))^4 in powers of q.at n=47A030211
• Expansion of q^(-1/2) * (eta(q) * eta(q^2))^4 in powers of q.at n=19A030211
• Discriminants of quadratic number fields Q(sqrt -n) for n squarefree.at n=14A033197