-319

Appears in sequences

• Numerator of [x^(2n+1)] in the Taylor expansion arctan(cosec(x) - cosech(x)).at n=3A013533
• Inverse Euler transform of primes.at n=23A030010
• Expansion of (1-x)^(-1)/(1+2*x-2*x^3).at n=15A077924
• Expansion of 1/(1-x-x^2+2*x^3).at n=28A077948
• Expansion of 1/(1+x-x^2-2*x^3).at n=28A077971
• Expansion of (1+x^2)/(1+x^2+x^5).at n=44A088002
• a(n) = -A065395(2^n).at n=11A092589
• Triangle T, read by rows, where row n of T equals row n of matrix (n+1)-th power of triangle A112555.at n=57A113287
• a(n) = n!*b(n), where b(n) = (1 + n - n^2)*b(n-2)/(n*(n-1)), b(0) = b(1) = 1.at n=6A123025
• Alternating row sums of Sheffer triangle A193685 (5-restricted Stirling2 numbers).at n=6A196835
• The c coefficients of the transform a*x^2 + (4*a/k - b)*x + 4*a/k^2 + 2*b/k + c = 0 for a,b,c = 1,-1,-1, k = 1,2,3...at n=18A229526
• Expansion of f(x^3, x^5) / f(x, x^3) in powers of x where f(, ) is Ramanujan's general theta function.at n=41A258741
• Coefficients in asymptotic expansion of the sequences A109253 and A112225.at n=5A260952
• Triangle T(n,k), n>=0, 0<=k<=n, read by rows: row n gives the coefficients of the chromatic polynomial of the (n,2)-Turán graph, highest powers first.at n=33A266972
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood.at n=11A270163
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood.at n=13A270453
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood.at n=9A271815
• Expansion of Product_{k>=0} 1/(1 + x^(3*k+1))^(3*k+1).at n=21A285286
• Expansion of (1 - x)^4/((1 - x)^6 + x^6).at n=10A307089
• 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=45A309216