87120
domain: N
Appears in sequences
- Expansion of e.g.f.: cos(log(x+1)-arctan(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+840/7!*x^7...at n=9A013250
- Theta series of A*_10 lattice.at n=48A023922
- Theta series of 10-d 11-modular Craig lattice A_10^(3).at n=17A028995
- Irreducible polynomial coefficient of singular value associated with sqrt(2n).at n=32A078878
- a(n) is the smallest k such that number of non-unitary prime divisors of central binomial coefficient, A000984(k) = C(2*k,k) equals n.at n=41A081393
- a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2*k,k)/(k+1) equals n.at n=41A081395
- Numbers k divisible by at least one nontrivial permutation (rearrangement) of the digits of k, excluding all permutations that result in digit loss.at n=36A090056
- Coefficients in quasimodular form F_2(q) of level 1 and weight 6.at n=27A126858
- Numbers n = 5*k^2 such that n - 1 and n + 1 are (twin) primes (thus k=6*m).at n=4A154672
- Integers of the form k = m^3+m^2 such that k-+1 are primes.at n=6A154733
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.at n=3A163231
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^5 = I.at n=3A163749
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.at n=3A164330
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.at n=3A164690
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.at n=3A165177
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.at n=3A165699
- Twin prime averages which are also the sum of the divisors of a triangular number.at n=27A166162
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^10 = I.at n=3A166258
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^11 = I.at n=3A166439
- Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.at n=3A166738