47544

Appears in sequences

• Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=40A039752
• Numbers k such that sopfr(k) = sopf(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=27A064675
• Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no valleys at level 0.at n=20A191388
• Number of 6 X (n+1) 0..1 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..1 introduced in row major order.at n=7A208087
• Number of ordered n-tuples of positive integers, whose minimum is 0 and maximum is 4.at n=6A245019
• Second differences of seventh powers (A001015).at n=4A255177
• Infinitary Ruth-Aaron numbers: numbers k such that A181894(k) = A181894(k+1).at n=26A330999
• Three-column array giving list of primitive triples for integer-sided triangles with A < B < C < 2*Pi/3 and such that FA, FB, FC are also integers where F is the Fermat point of the triangle.at n=10A352360
• a(n) = n!*Sum_{m=1..floor((n+1)/2)} 1/(m*binomial(n-m,m-1)).at n=7A358652
• Triangle read by rows: T(n,k) = Sum_{j=0..k} (-1)^(k-j) * binomial(k,j) * (3+j)^n.at n=30A391552