-477

Appears in sequences

• a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=51A073891
• Expansion of -x - x^3*(2 -2*x^4 +x^5)/((1-x^2)*(1+x+x^4)).at n=20A089076
• Expansion of 1/sqrt(1 - 6x + 17x^2).at n=5A098339
• Expansion of 1/sqrt(1 - 6*x + 25*x^2).at n=5A098341
• Expansion of x*(1 - x)/(1 - x + x^2)^3.at n=52A104555
• Antidiagonal sums of number triangle A106270.at n=7A106272
• Polylogarithm li(-n,-1/2) multiplied by (3^(n+1))/2.at n=7A212846
• Expansion of eta(q)^5 * eta(q^3) * eta(q^6)^4 / eta(q^2)^4 in powers of q.at n=23A214262
• Values of n such that L(7) and N(7) 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=9A226927
• Expansion of q^(-1) * f(-q^2, -q^7) * f(-q^4, -q^5) / f(-q, -q^8)^2 in powers of q where f() is Ramanujan's two-variable theta function.at n=52A245421
• Expansion of q^(-1) * f(-q^4, -q^5)^2 / (f(-q, -q^8) * f(-q^2, -q^7)) in powers of q where f() is Ramanujan's two-variable theta function.at n=52A245424
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 181", based on the 5-celled von Neumann neighborhood.at n=11A270629
• a(0)=0; thereafter a(n) = a(n-1)+n if the (n-1)st digit of the sequence is even, otherwise a(n) = a(n-1)-n.at n=54A309216
• Triangle read by rows. T(n, k) = numerator(Integral_{z=0..1} Eulerian(n, k)*z^(k + 1)*(z - 1)^(n - k - 1) dz), where Eulerian(n, k) = A173018(n, k) for n >= 1, and T(0, 0) = 1.at n=38A356602