42845
domain: N
Appears in sequences
- a(n) = (6*n+1)*(6*n+5).at n=34A001513
- a(1) = 2; for n>1, a(n)=SENSigma(a(n-1)), where SENSigma(m) = (-1)^((Sum_i r_i)+Omega(m))*Sum_{d|m} (-1)^((Sum_j Max(r_j))+Omega(d))*d = Product_i (Sum_{1<=s_i<=r_i} p_i^s_i)+(-1)^(r_i+1) if m=Product_i p_i^r_i, d=Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing m.at n=16A125141
- a(n) = (8*n+5)*(8*n+9).at n=25A146302
- Quintisection A061037(5*n+2).at n=41A165248
- Eight white kings and one red king on a 3 X 3 chessboard. G.f.: (1 + 2*x)/(1 - 3*x - 7*x^2).at n=7A179602
- Number of n-bead necklaces labeled with numbers 1..3 allowing reversal, with no adjacent beads differing by more than 1.at n=15A208716
- Number of integer partitions of n with a different mean, median, and mode, assuming there is a unique mode.at n=47A363725