-508

Appears in sequences

• a(n) = 2^n-n^9.at n=2A024019
• McKay-Thompson series of class 27d for Monster.at n=62A058604
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=47A068762
• Sum_{k=1..2*n-1} J(n,k)*k where J(i,j) is the Jacobi symbol.at n=50A097540
• Let b(n) = A112455(n). Then b(n)/n is an integer iff n is prime (at least for the first few values, as for the Perrin sequence). This sequence is the values of b(p)/p, where p is the n th prime.at n=15A112458
• Expansion of (1-x^2)/(1-2*x^2+4*x^3+x^4).at n=11A117413
• a(n) = a(n-2) - (a(n-1) - a(n-2)) if (n mod 2) = 0, otherwise a(n) = a(n-1) - (a(n-3) - a(n-4)), with a(0) = 0, a(1) = 1, a(2) = -1, a(3) = 2.at n=28A135690
• a(n) = a(n-2) - (a(n-1) - a(n-2)) if (n mod 2) = 0, otherwise a(n) = a(n-1) - (a(n-3) - a(n-4)), with a(0) = 0, a(1) = 1, a(2) = -1, a(3) = 2.at n=35A135690
• a(n) = (-1)*a(n-1) + 3*a(n-2) with a(1)=-1 and a(2)=1.at n=8A140167
• Triangle A(k,n) = (-2)^k+2^n read by rows.at n=47A140589
• a(n) = -2*n^2 + 12*n - 14.at n=18A147973
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of A203949.at n=30A203950
• Array of higher-order differences of the sequence (-1)^n*A000111(n) read by downward antidiagonals.at n=31A261880
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 155", based on the 5-celled von Neumann neighborhood.at n=13A270328
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood.at n=35A273174
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 646", based on the 5-celled von Neumann neighborhood.at n=29A273329
• Expansion of r(q^2) / r(q)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=28A285348
• Expansion of Product_{i>=1, j>=1, k>=1} (1 - x^(i*j*k))/(1 + x^(i*j*k)).at n=17A321241
• Deficiency computed for conjugated prime factorization: a(n) = A033879(A122111(n)).at n=45A323174
• G.f.: Sum_{n>=0} x^n * (1 - x^(n+1))^n / (1 + x^(n+1))^(n+1).at n=23A323695