cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A347763 Number of compositions (ordered partitions) of n into at most 3 prime powers (including 1).

Original entry on oeis.org

1, 1, 2, 4, 7, 11, 15, 20, 24, 29, 34, 40, 45, 52, 55, 58, 62, 67, 69, 76, 79, 87, 88, 92, 89, 100, 96, 106, 109, 121, 111, 127, 125, 140, 139, 158, 149, 173, 152, 168, 159, 184, 156, 196, 168, 193, 173, 206, 173, 220, 186, 222, 201, 236, 185, 243, 203, 252
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 12 2021

Keywords

Crossrefs

Cf. A000961, A280543, A282064, A347762, A347764.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,3,Join[{1},Select[Range@n,PrimePowerQ]]],1],{n,0,70}] (* Giorgos Kalogeropoulos, Sep 12 2021 *)

A347764 Number of compositions (ordered partitions) of n into at most 4 prime powers (including 1).

Original entry on oeis.org

1, 1, 2, 4, 8, 15, 25, 40, 59, 81, 106, 136, 170, 208, 251, 294, 339, 383, 431, 476, 530, 583, 642, 696, 757, 804, 866, 914, 980, 1041, 1125, 1167, 1256, 1312, 1405, 1466, 1598, 1657, 1790, 1840, 1961, 2004, 2148, 2160, 2335, 2365, 2505, 2502, 2707, 2664, 2884
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 12 2021

Keywords

Crossrefs

Cf. A000961, A280543, A341133, A347762, A347763.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,4,Join[{1},Select[Range@n,PrimePowerQ]]],1],{n,0,50}] (* Giorgos Kalogeropoulos, Sep 12 2021 *)

A358635 Number of partitions of n into at most 2 distinct prime powers (including 1).

Original entry on oeis.org

1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 5, 5, 4, 6, 4, 7, 5, 6, 4, 7, 3, 5, 4, 6, 4, 6, 4, 6, 5, 5, 3, 8, 4, 7, 4, 6, 3, 8, 3, 7, 4, 5, 3, 8, 4, 6, 4, 7, 3, 9, 3, 8, 5, 7, 3, 10, 4, 7, 6, 7, 3, 9, 3, 9, 5, 6, 5, 11, 3, 8, 4, 7, 4, 12, 4
Offset: 0

Views

Author

Ilya Gutkovskiy, Nov 24 2022

Keywords

Crossrefs

Cf. A000961, A106244, A341132, A347643, A347762, A358636, A358637.

A347775 Number of compositions (ordered partitions) of n into at most 5 prime powers (including 1).

Original entry on oeis.org

1, 1, 2, 4, 8, 16, 30, 55, 94, 151, 227, 326, 450, 603, 786, 1005, 1259, 1543, 1856, 2201, 2571, 2978, 3417, 3896, 4402, 4950, 5506, 6104, 6710, 7366, 8040, 8792, 9526, 10342, 11150, 12042, 12918, 13977, 14975, 16145, 17242, 18514, 19628, 21015, 22170, 23671, 24940
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

Crossrefs

Cf. A000961, A280543, A341134, A347762, A347763, A347764, A347776.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,5,Join[{1},Select[Range@n,PrimePowerQ]]],1],{n,0,46}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)

A347776 Number of compositions (ordered partitions) of n into at most 6 prime powers (including 1).

Original entry on oeis.org

1, 1, 2, 4, 8, 16, 31, 61, 115, 207, 353, 572, 882, 1305, 1863, 2581, 3491, 4615, 5974, 7583, 9462, 11616, 14070, 16844, 19965, 23436, 27289, 31502, 36104, 41074, 46462, 52244, 58534, 65230, 72458, 80118, 88352, 97011, 106448, 116393, 127189, 138532, 150819, 163473
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

Crossrefs

Cf. A000961, A280543, A341135, A347762, A347763, A347764, A347775.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,6,Join[{1},Select[Range@n,PrimePowerQ]]],1],{n,0,43}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)
Showing 1-5 of 5 results.

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