33309

Appears in sequences

• E.g.f.: expansion of tanh(log(1+x))/exp(x).at n=9A009782
• Numbers whose base-8 representation has exactly 6 runs.at n=18A043628
• A triangle sequence of polynomial coefficients: p(x,n)=(-1)^(n + 1)*(x - 1)^(3*n + 1)*Sum[(Binomial[m, n]* Binomial[m + 1, n + 1]/(m - n + 1))*(m + 1)^ n*x^m, {m, 0, Infinity}]/(x^n); t(n,m)=coefficients(p(x,n)).at n=17A155756
• Numbers k such that 3^k + k^3 - 1 is prime.at n=14A215440
• Numbers with 3 or more prime factors (with multiplicity) such that every concatenation of their prime factors is prime.at n=36A217264
• Partial sums of the 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=36A270628
• Number of integer partitions of n not containing their mean.at n=40A327472
• Number of fixed Tangles of size n.at n=8A333080
• Records in A353717.at n=28A353722
• a(n) = sum for all integer partitions of n of the difference between number of different parts and number of different multiplicities.at n=35A373243