-8

Appears in sequences

• Expansion of Product_{k >= 1} (1 - x^k)^4.at n=15A000727
• Expansion of Product_{k >= 1} (1 - x^k)^4.at n=67A000727
• Expansion of Product_{k >= 1} (1 - x^k)^4.at n=57A000727
• Expansion of Product (1 - x^k)^8 in powers of x.at n=1A000731
• Canonical enumeration of integers: interleaved positive and negative integers with zero prepended.at n=16A001057
• The negative integers.at n=7A001478
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^4 in powers of x.at n=9A001482
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=1A001486
• a(n) = -n.at n=8A001489
• Expansion of e.g.f. exp(sin(x)).at n=5A002017
• Coefficient of x^p (p = n-th prime) in x * Product_{k>=1} (1-x^k)^2*(1-x^11k)^2.at n=12A002070
• Coefficient of x^p (p = n-th prime) in x * Product_{k>=1} (1-x^k)^2*(1-x^11k)^2.at n=52A002070
• 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=16A002121
• a(1) = 0, a(2) = 0; for n > 2, a(n) - a(n-3) - a(n-5) - ... - a(n-p) = n if n is prime, otherwise = 0, where p = largest prime < n.at n=7A002123
• Generalized sum of divisors function: excess of sum of odd divisors of n over sum of even divisors of n.at n=13A002129
• a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=47A002173
• a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=23A002173
• a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=11A002173
• a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=5A002173
• a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=2A002173