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A347796
Number of compositions (ordered partitions) of n into at most 3 nonprime parts.
5
1, 1, 1, 1, 1, 2, 4, 2, 5, 6, 8, 11, 8, 13, 17, 17, 23, 25, 27, 33, 38, 37, 50, 48, 58, 63, 73, 70, 89, 82, 107, 102, 122, 112, 148, 136, 164, 161, 185, 173, 223, 196, 241, 231, 268, 254, 304, 273, 332, 318, 364, 348, 403, 364, 444, 415, 477, 448, 525, 479, 567
OFFSET
0,6
MATHEMATICA
Table[Length@Flatten[Permutations/@IntegerPartitions[n, 3, Select[Range@n, !PrimeQ@#&]], 1], {n, 0, 60}] (* Giorgos Kalogeropoulos, Sep 14 2021 *)
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 14 2021
STATUS
approved