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.

A347777 Number of compositions (ordered partitions) of n into at most 2 squarefree parts.

Original entry on oeis.org

1, 1, 2, 3, 3, 3, 4, 5, 6, 4, 4, 5, 7, 7, 6, 7, 10, 9, 8, 7, 11, 9, 10, 9, 14, 10, 10, 10, 13, 11, 10, 11, 16, 13, 14, 13, 22, 15, 14, 15, 22, 17, 16, 19, 25, 20, 16, 17, 26, 20, 16, 15, 27, 21, 20, 15, 26, 21, 22, 19, 29, 23, 22, 22, 30, 23, 22, 23, 35, 25, 26
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

Crossrefs

Cf. A005117, A098235, A280194, A347778, A347779, A347780.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,2,Select[Range@n,SquareFreeQ]],1],{n,0,100}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)

A347779 Number of compositions (ordered partitions) of n into at most 4 squarefree parts.

Original entry on oeis.org

1, 1, 2, 4, 7, 13, 21, 30, 41, 55, 75, 94, 111, 129, 158, 192, 224, 249, 290, 346, 403, 439, 488, 556, 639, 686, 749, 828, 939, 1002, 1081, 1173, 1304, 1373, 1464, 1579, 1750, 1838, 1963, 2111, 2337, 2423, 2574, 2740, 3023, 3120, 3292, 3511, 3858, 3978, 4157, 4413
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

Crossrefs

Cf. A005117, A280194, A341064, A347777, A347778, A347780.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,4,Select[Range@n,SquareFreeQ]],1],{n,0,51}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)

A347780 Number of compositions (ordered partitions) of n into at most 5 squarefree parts.

Original entry on oeis.org

1, 1, 2, 4, 7, 14, 26, 45, 71, 105, 151, 214, 291, 379, 473, 593, 744, 919, 1095, 1301, 1563, 1884, 2203, 2536, 2929, 3427, 3929, 4433, 4979, 5692, 6422, 7158, 7904, 8863, 9844, 10830, 11810, 13078, 14378, 15706, 17007, 18718, 20424, 22165, 23803, 26025
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

Crossrefs

Cf. A005117, A280194, A341065, A347777, A347778, A347779.

Programs

  • Mathematica
    Table[Length@Flatten[Permutations/@IntegerPartitions[n,5,Select[Range@n,SquareFreeQ]],1],{n,0,45}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)

A358024 Number of partitions of n into at most 3 distinct squarefree parts.

Original entry on oeis.org

1, 1, 1, 2, 1, 2, 3, 3, 4, 4, 5, 5, 5, 7, 8, 8, 9, 10, 13, 12, 13, 14, 17, 16, 18, 17, 21, 20, 21, 23, 26, 25, 26, 27, 32, 31, 33, 36, 40, 40, 39, 42, 48, 47, 47, 50, 58, 56, 55, 58, 66, 64, 61, 67, 75, 74, 70, 74, 84, 83, 79, 82, 93, 91, 89, 93, 103, 102, 97, 105, 115
Offset: 0

Views

Author

Ilya Gutkovskiy, Oct 25 2022

Keywords

Crossrefs

Cf. A005117, A087188, A307835, A347649, A347778, A358023, A358025.

A347783 Number of compositions (ordered partitions) of n into at most 6 squarefree parts.

Original entry on oeis.org

1, 1, 2, 4, 7, 14, 27, 51, 92, 155, 247, 376, 558, 805, 1118, 1495, 1962, 2551, 3282, 4127, 5106, 6286, 7750, 9442, 11326, 13459, 16037, 19011, 22277, 25804, 29939, 34692, 39938, 45455, 51736, 58848, 66696, 74836, 83927, 94114, 105372, 116992, 129902, 144223
Offset: 0

Views

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

Crossrefs

Cf. A005117, A280194, A341066, A347777, A347778, A347779, A347780.

Programs

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

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.