A114325 Number of partitions of n into brilliant numbers (A078972).
0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 3, 2, 3, 1, 5, 3, 5, 4, 6, 4, 9, 7, 8, 8, 12, 10, 15, 12, 15, 16, 21, 19, 24, 22, 27, 30, 34, 31, 40, 40, 46, 49, 54, 52, 65, 68, 74
Offset: 1
Examples
a(18)=5 since 18 has the following 5 "brilliant" partitions: {14,4}, {10,4,4}, {9,9}, {6,6,6}, {6,4,4,4}.