42182

Appears in sequences

• Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities).at n=35A045941
• Numbers k such that k, k+1, k+2 and k+3 are products of 4 primes.at n=15A124728
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 1), (1, 0, 0), (1, 1, -1)}.at n=10A148280
• Number of 0..5 arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors.at n=4A200883
• T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors.at n=40A200886
• Number of 0..n arrays x(0..6) of 7 elements without any interior element greater than both neighbors.at n=4A200890
• Number of nX1 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.at n=7A203050
• T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.at n=28A203057
• Number of compositions of n with c(1) = 1, c(i+1) - c(i) <= 1, and c(i+1) - c(i) != 0.at n=40A238870
• Start of a triple of consecutive squarefree numbers each of which has exactly 4 distinct prime factors.at n=3A242607
• G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m) + 4!*x^(4*m)).at n=34A293256