-423
domain: Z
Appears in sequences
- a(n) = 4^n - n^5.at n=7A024041
- Determinants of 3 X 3 matrices of continuous blocks of 9 consecutive semiprimes.at n=4A118781
- Expansion of 1/(1+3*x*c(x)), c(x) the g.f. of Catalan numbers A000108.at n=7A126982
- E.g.f.: sqrt((1+4*x)/(1+2*x)).at n=4A127189
- a(n) = -4*a(n-3) + 11*a(n-2) - a(n-1), a(0) = 13, a(1) = -19, a(2) = 162.at n=3A153266
- Numerator of Hermite(n, 3/10).at n=3A159249
- Numerator of the fraction tan( Sum_{k=1..n} arctan(k) ).at n=8A180657
- Values of n such that L(1) and N(1) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=35A226921
- G.f.: x^((k^2 + k)/2) / (Product_{i=1..k} (1 - x^i) * Product_{r>=1} (1 + x^r)) with k = 2.at n=56A246581
- Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=93A255644
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 81", based on the 5-celled von Neumann neighborhood.at n=11A270101
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 137", based on the 5-celled von Neumann neighborhood.at n=13A270277
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 339", based on the 5-celled von Neumann neighborhood.at n=11A271292
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 457", based on the 5-celled von Neumann neighborhood.at n=15A272283
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 473", based on the 5-celled von Neumann neighborhood.at n=15A272426
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 481", based on the 5-celled von Neumann neighborhood.at n=15A272458
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=15A272559
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood.at n=15A272563
- G.f.: A(x) = Sum_{n=-oo..+oo} (x - x^n)^n.at n=49A290003
- Expansion of 1 - x*(1+x)/(1 + x^2*(1-x^2)/(1 - x^3*(1+x^3)/(1 + x^4*(1-x^4)/(1 - x^5*(1+x^5)/(1 - ...))))), a continued fraction.at n=33A291200