-409
domain: Z
Appears in sequences
- Determinant of n X n matrix defined by m(i,j) = 0 if i+j is a prime, m(i,j) = 1 otherwise.at n=26A071063
- Expansion of (1-x)^(-1)/(1-x+2*x^3).at n=20A077870
- Expansion of (1-x)/(1+2*x-x^2-x^3).at n=7A078056
- a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=1 if sigma(i+j) is even, 0 otherwise.at n=19A096734
- Row sums of triangle A118407.at n=21A118408
- Determinant of n X n matrix of first n^2 odious numbers: odd number of 1's in binary expansion (A000069).at n=4A119530
- Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088.at n=18A137470
- Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088.at n=20A137470
- Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088.at n=21A137470
- Primes or negative values of primes of the form 8*n^2 - 298*n + 2113 for n >= 0.at n=13A217439
- Primes or negative values of primes of the form 8*n^2 - 326*n + 2659 for n >= 0.at n=26A217440
- a(n) = 6*n^3 - 263*n^2 + 3469*n - 12841.at n=21A218457
- Expansion of psi(x^3)^3 / (psi(x)^2 * psi(x^2)) in powers of x where psi() is a Ramanujan theta function.at n=21A262157
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood.at n=11A270293
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 541", based on the 5-celled von Neumann neighborhood.at n=46A272808
- Expansion of Product_{k>=1} 1 / (1 + x^k - x^(2*k)).at n=13A276527
- G.f. A(x) satisfies: A( x*A(x)^2 - x^2*A(x) ) = x^4.at n=8A291614
- a(1) = 1, a(n) = -5*a(n/3) if n is divisible by 3, otherwise a(n) = n - a(n-1).at n=67A305865
- Expansion of Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 + x^j)^j.at n=56A306708
- G.f. satisfies: A(x) = 1/(1 - x) * Product_{k>0} A(x^(2*k)) / Product_{k>1} A(x^(2*k-1)).at n=31A321088