A347703 -id:A347703 - cp's OEIS frontend

A347760 Number of compositions (ordered partitions) of n into at most 5 prime parts (counting 1 as a prime).

1, 1, 2, 4, 7, 14, 25, 43, 66, 93, 124, 160, 198, 240, 274, 315, 353, 415, 464, 538, 577, 669, 718, 850, 887, 1031, 1043, 1238, 1250, 1495, 1435, 1692, 1584, 1943, 1817, 2251, 2011, 2529, 2261, 2939, 2561, 3287, 2720, 3596, 3005, 4077, 3304, 4505, 3545, 4995, 3966

Offset: 0

Ilya Gutkovskiy, Sep 12 2021

nonn

Cf. A008578, A280917, A341984, A347703, A347742, A347744, A347745, A347761.

Table[Length@Flatten[Permutations/@IntegerPartitions[n,5,Join[{1},Prime@Range@PrimePi@n]],1],{n,0,50}] (* Giorgos Kalogeropoulos, Sep 12 2021 *)

A347761 Number of compositions (ordered partitions) of n into at most 6 prime parts (counting 1 as a prime).

Original entry on oeis.org

1, 1, 2, 4, 7, 14, 26, 49, 87, 143, 220, 316, 435, 576, 739, 911, 1100, 1297, 1541, 1798, 2113, 2405, 2785, 3136, 3648, 4061, 4670, 5080, 5828, 6301, 7261, 7692, 8751, 9059, 10379, 10681, 12329, 12435, 14354, 14335, 16847, 16673, 19588, 18866, 22247, 21257

Offset: 0

Ilya Gutkovskiy, Sep 12 2021

nonn

Cf. A008578, A280917, A341985, A347703, A347743, A347744, A347745, A347760.

Table[Length@Flatten[Permutations/@IntegerPartitions[n,6,Join[{1},Prime@Range@PrimePi@n]],1],{n,0,45}] (* Giorgos Kalogeropoulos, Sep 12 2021 *)

cp's OEIS Frontend

A347760 Number of compositions (ordered partitions) of n into at most 5 prime parts (counting 1 as a prime).

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