This problem is based on, A337517, the most recent OEIS sequence with the keyword "nice". \$a(n)\$ is the number of distinct resistances that can be produced from a circuit with exactly \$n\$ unit resistors. The sequence begins 1, 2, 4, 9, 23, 57, 151, 427, 1263, 3823, 11724, 36048, 110953, 342...