-31

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=25A000036
• Canonical enumeration of integers: interleaved positive and negative integers with zero prepended.at n=62A001057
• The negative integers.at n=30A001478
• a(n) = -n.at n=31A001489
• Numerators of cosecant numbers -2*(2^(2*n - 1) - 1)*Bernoulli(2*n); also of Bernoulli(2*n, 1/2) and Bernoulli(2*n, 1/4).at n=3A001896
• 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=26A002121
• Generalized sum of divisors function: excess of sum of odd divisors of n over sum of even divisors of n.at n=49A002129
• a(n) = a(n-1) - 2*a(n-2) with a(0) = 2, a(1) = 1.at n=8A002249
• Expansion of e.g.f. log(1+x*cos(x)).at n=5A003728
• Expansion of e.g.f: (1+x)*cos(x).at n=31A009001
• Expansion of e.g.f. cos(tan(x)*exp(x)).at n=4A009076
• Expansion of e.g.f.: exp(sin(sinh(x))).at n=10A009202
• Expansion of log(1+x)*cos(tan(x)).at n=5A009408
• Expansion of Product_{k>=1} (1-x^k)^31.at n=1A010836
• E.g.f.: cos(arctanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-31/4!*x^4-140/5!*x^5...at n=4A012714
• Zeroth row of infinite Latin square heading to +oo.at n=23A019570
• Expansion of Product_{m>=1} (1+q^m)^(-31).at n=1A022626
• Expansion of Product_{m>=1} (1-m*q^m).at n=13A022661
• Expansion of Product_{m>=1} (1 - m*q^m)^2.at n=8A022662
• Expansion of Product_{m>=1} (1-m*q^m)^31.at n=1A022691