-503

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=48A002121
• a(n) = 3^n - n^9.at n=2A024032
• Partition function coefficients for square lattice spin 3 Ising model.at n=72A056620
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=42A060023
• Triangle of coefficients of numerators of powers of e^2 in Sum_{k>=1} {1 / (1 + (k+1/2)^2*Pi^2)^n} + {4^n / (4+Pi^2)^n}.at n=18A085471
• Numerator of Hermite(n, 3/32).at n=2A160362
• Expansion of 1/(1 - 4*x + 7*x^2).at n=6A168175
• Prime-generating polynomial: a(n) = 4*n^2 + 12*n - 1583.at n=15A182409
• Expansion of o.g.f. (1-x^2)/(1-x+x^4).at n=43A193884
• Values of the prime-generating polynomial 4*n^2 - 284*n + 3449.at n=19A210626
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood.at n=13A270209
• a(n) = n - 2^(sum of digits of n).at n=9A328882
• Numerator generator for offsets from the quarter points of the Cantor ternary set to the center points of deleted middle thirds: 1 is in the list and if m is in the list -3m-4 and -3m+4 are in the list, which is ordered by absolute value.at n=22A355680
• E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x))^3 ).at n=4A384855
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384855.at n=19A384859