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 1-3 of 3 results.

A085544 n-th partition number (A000041) sets a new record for number of divisors.

Original entry on oeis.org

0, 2, 7, 9, 15, 19, 21, 39, 59, 66, 75, 96, 124, 125, 180, 327, 358, 434, 699, 999, 1685, 1779, 3561, 4184, 4835
Offset: 1

Views

Author

Jason Earls, Jul 03 2003

Keywords

Comments

No more terms < 6000. - David Wasserman, Feb 22 2005
Where records occur in A085543. - Omar E. Pol, Jan 25 2009

Crossrefs

See A154789 for another version.
Cf. A085543. - Omar E. Pol, Jan 25 2009

Extensions

More terms from Don Reble, Jul 13 2003
More terms from David Wasserman, Feb 22 2005
Offset changed to 1 by Jinyuan Wang, Mar 15 2020

A154790 Highly composite partition numbers.

Original entry on oeis.org

1, 2, 15, 30, 176, 490, 792, 31185, 831820, 2323520, 8118264, 118114304, 2841940500, 3163127352, 684957390936, 60105349839666544, 471314064268398780, 52527070729108240605, 57601805366500810491219000, 23127843459154899464880444632250
Offset: 1

Views

Author

Omar E. Pol, Jan 25 2009

Keywords

Comments

Partition numbers with record values for the number of divisors.

Links

Crossrefs

Cf. A000005, A000041, A085543, A085544, A154788, A154789.

Formula

a(n) = A000041(A085544(n)). - Amiram Eldar, Apr 09 2024

Extensions

More terms from D. S. McNeil, May 10 2010
a(20) from Amiram Eldar, Apr 09 2024

A154788 Records in A085543.

Original entry on oeis.org

1, 2, 4, 8, 10, 12, 24, 40, 48, 56, 128, 144, 192, 256, 384, 480, 576, 768, 1536, 4608, 6144, 6912, 15360, 36864, 294912
Offset: 1

Views

Author

Omar E. Pol, Jan 25 2009

Keywords

Crossrefs

Cf. A000005, A000041, A085543, A085544, A154789, A154790.

Programs

  • Mathematica
    DeleteDuplicates[DivisorSigma[0,PartitionsP[Range[0,2000]]],GreaterEqual] (* The program generates the first 22 terms of the sequence. *) (* Harvey P. Dale, Dec 09 2024 *)

Formula

a(n) = A085543(A085544(n)) = A085543(A154789(n)). - Max Alekseyev, Apr 26 2010

Extensions

More terms from Max Alekseyev, Apr 26 2010
Showing 1-3 of 3 results.

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

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