A334354 The number of optimal sets of n distinct integers less than or equal to k with this property: the sum of every two members of this set divides the product of all the members of this set. An optimal set with this property is one whose greatest member is the least possible.
1, 1, 1, 1, 1, 1, 3, 1, 2, 6, 1, 2, 5, 4, 1, 1, 1, 196, 115, 34, 4, 674, 303, 86, 14, 1, 852, 164, 19, 1, 1, 176, 19, 1, 1, 44503, 11396
Offset: 1
Examples
n=1: 1 n=2: 3, 6 3*6 = 18 3+6 divides 18 n=3: 3, 12, 15 3*12*15 = 540 3+12 divides 540 3+15 divides 540 12+15 divides 540 n=4: 2, 6, 10, 14 2*6*10*14 = 1680 2+6 divides 1680 2+10 divides 1680 2+14 divides 1680 6+10 divides 1680 6+14 divides 1680 10+14 divides 1680 n=5: 2, 6, 10, 14, 18 n=6: 2, 6, 10, 14, 18, 22 n=7: 2, 4, 10, 14, 18, 22, 26 2, 6, 10, 14, 18, 22, 26 4, 6, 10, 14, 18, 22, 26 n=8: 2, 4, 6, 10, 14, 18, 22, 26 n=9: 2, 6, 8, 10, 14, 18, 22, 26, 34 2, 6, 10, 14, 18, 22, 26, 30, 34
Links
- Zizheng Fang, Python program to generate A334354
Crossrefs
Cf. A334352.