-513

Appears in sequences

• Expansion of e.g.f. cos(tan(tan(x))), even terms only.at n=3A009068
• a(n) = 6^n - n^6.at n=3A024068
• Coefficients of the '6th-order' mock theta function lambda(q).at n=25A053272
• Table T(m,k)=m^k-k^m (with 0^0 taken to be 1) as square array read by antidiagonals.at n=48A055651
• Triangle read by rows: T(n,k) = (-1)^k*3^(n-1-2k)*binomial(n-k,k)*(4n-5k)/(n-k) (0 <= k <= floor(n/2), n >= 1).at n=13A104063
• a(2*n) = -(2^(2*n+1) + 1), a(2*n+1) = (2^(n+1) - (-1)^n)^2.at n=8A105951
• Expansion of 1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13).at n=22A143372
• a(n) = n^3 - (3*(n+3))^2.at n=6A153259
• Partial sums of Berstel sequence (A007420).at n=14A178885
• Table T(n,k) = k^n - n^k, n, k > 0, read by descending antidiagonals.at n=30A220417
• Coefficients of powers of x^2 of polynomials, called h(2,n,x^2), appearing in a conjecture on alternating sums of fifth powers of odd-indexed Chebyshev S polynomials stated in A220671.at n=32A220672
• Values of n such that L(3) and N(3) 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=17A226923
• Values of n such that L(9) and N(9) 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=6A226929
• Triangle T(n,k), read by rows: T(n,k) is the numerator of (1+2^(n-k+1))/(1-2^(k+1)).at n=36A228146
• Triangle read by rows: T(n, k) is the coefficient of x^k of the polynomial p_n(x) representing the n-th diagonal of A246654.at n=58A246656
• G.f. A(x) satisfies: A(x)^2 = A(x^2) + 6*x.at n=6A264412
• Alternating sum of 9-gonal (or nonagonal) numbers.at n=17A266086
• 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=50A272808
• a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^9.at n=1A321565
• Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = Sum_{d|n} (-1)^(n/d+d)*d^k.at n=56A322083