-81
domain: Z
Appears in sequences
- 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=30A002121
- Coefficients of modular function G_4(tau).at n=7A005762
- a(n) = (17 - 2*n)*n^2.at n=9A015234
- a(n) = (2*n - 15)*n^2.at n=3A015247
- Triangle of coefficients in expansion of (x-1)*(x-3)*(x-5)*...*(x-(2*n-1)).at n=53A039757
- Triangle of B-analogs of Stirling numbers of first kind.at n=46A039758
- Column 1 of Inverse partition triangle A038498.at n=49A039800
- Matrix 9th power of inverse partition triangle A038498.at n=23A050312
- Start with 0, run through primes >=5, adding if -1 mod 6, subtracting if +1 mod 6.at n=51A051356
- a(n) = Sum_{d|2n+1} phi(d)*mu(d).at n=41A054586
- Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=8A055103
- Numbers n where 36n^2+24n+7 is prime (sorted by absolute values with negatives before positives).at n=57A056902
- Numbers k such that 36*k^2 + 12*k + 7 is prime (sorted by absolute values with negatives before positives).at n=28A056910
- Scaled Chebyshev U-polynomials evaluated at sqrt(3)/2; expansion of 1/(1 - 3*x + 3*x^2).at n=7A057083
- a(n) = Sum_{j=0..floor(n/3)} (-1)^j*binomial(n,3*j+1).at n=9A057682
- a(n) = Sum_{j=0..floor(n/3)} (-1)^j*binomial(n,3*j+1).at n=10A057682
- McKay-Thompson series of class 30c for Monster.at n=44A058624
- a(n) = bin_prime_sum(fibonacci(A001651[n])), where fibonacci(A001651[n]) is A014437[n].at n=22A059878
- Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 8.at n=26A060027
- Determinant of the n X n matrix whose element (i,j) equals the |i-j|-th prime or if i=j, 1.at n=6A071078