A371630 Numbers k that set records in A372720.
1, 2, 6, 12, 30, 60, 120, 210, 420, 840, 1260, 1680, 2520, 4620, 9240, 13860, 18480, 27720, 32760, 55440, 65520, 102960, 110880, 120120, 180180, 240240, 360360, 556920, 720720, 1081080, 1441440, 1884960, 2162160, 2827440, 2882880, 3063060, 3603600, 4084080, 6126120
Offset: 1
Examples
Table of a(n) and A371634(n) = b(n) for n = 1..20. Asterisks in the a(n) column denote squarefree terms while "+" denotes numbers not in A055932 (i.e., in A080259). n a(n) A067255(a(n)) d(n)-f(n) = b(n) ------------------------------------------------------ 1 1* 1 1 - 1 = 0 2 2* 2 2 - 1 = 1 3 6* 2 * 3 4 - 1 = 3 4 12 2^2 * 3 6 - 2 = 4 5 30* 2 * 3 * 5 8 - 1 = 7 6 60 2^2 * 3 * 5 12 - 2 = 10 7 120 2^3 * 3 * 5 16 - 4 = 12 8 210* 2 * 3 * 5 * 7 16 - 1 = 15 9 420 2^2 * 3 * 5 * 7 24 - 2 = 22 10 840 2^3 * 3 * 5 * 7 32 - 4 = 28 11 1260 2^2 * 3^2 * 5 * 7 36 - 6 = 30 12 1680 2^4 * 3 * 5 * 7 40 - 8 = 32 13 2520 2^3 * 3^2 * 5 * 7 48 - 11 = 37 14 4620 2^2 * 3 * 5 * 7 * 11 48 - 2 = 46 15 9240 2^3 * 3 * 5 * 7 * 11 64 - 4 = 60 16 13860 2^2 * 3^2 * 5 * 7 * 11 72 - 6 = 66 17 18480 2^4 * 3 * 5 * 7 * 11 80 - 8 = 72 18 27720 2^3 * 3^2 * 5 * 7 * 11 96 - 12 = 84 19 32760+ 2^3 * 3^2 * 5 * 7 * 13 96 - 11 = 85 20 55440 2^4 * 3^2 * 5 * 7 * 11 120 - 20 = 100
Links
- Michael S. Branicky, Table of n, a(n) for n = 1..67 (terms 1..56 from Michael De Vlieger)
- Michael De Vlieger, Prime power decomposition of A371630(n), n = 1..56.
Comments