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.

A085913 Group the natural numbers such that the product of the terms of the n-th group is divisible by n!. (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the first term of every group.

Original entry on oeis.org

1, 2, 3, 5, 9, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99, 113, 129, 145, 163, 181, 201, 221, 243, 265, 289, 313, 339, 365, 393, 421, 451, 481, 513, 545, 579, 613, 649, 685, 723, 761, 801, 841, 883, 925, 969, 1013, 1059, 1105, 1153, 1201, 1251, 1301, 1353, 1405
Offset: 1

Views

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003

Keywords

Comments

Differs from A099392 at n = 61.

Crossrefs

Cf. A085912, A085914, A085915.

Programs

  • Mathematica
    i = 1; Table[p = i; s = i; While[!Divisible[p *= i++, n!]]; s, {n, 1, 54}] (* Jon Maiga, Nov 28 2018 *)

Extensions

More terms from Ray Chandler, Sep 15 2003

A085914 Group the natural numbers so that the product of the terms of the n-th group is divisible by n!: (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the number of terms in each group.

Original entry on oeis.org

1, 1, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18, 20, 20, 22, 22, 24, 24, 26, 26, 28, 28, 30, 30, 32, 32, 34, 34, 36, 36, 38, 38, 40, 40, 42, 42, 44, 44, 46, 46, 48, 48, 50, 50, 52, 52, 54, 54, 56, 56, 58, 58, 58, 58, 62, 63, 63, 62, 66, 64, 68, 68, 68, 70, 66
Offset: 1

Views

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003

Keywords

Comments

a(n) <= n.
This sequence may be related to the smoothing sequence suggested in A138023. - Enoch Haga, Feb 28 2008

Links

Crossrefs

Cf. A085912, A085913, A085915.
Cf. A138023.

Extensions

More terms from Ray Chandler, Sep 15 2003

A085912 Group the natural numbers such that the product of the terms of the n-th group is divisible by n!. (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the product pertaining to groups.

Original entry on oeis.org

1, 2, 12, 1680, 11880, 13366080, 96909120, 424097856000, 3100796899200, 37276043023296000, 273589847231500800, 7359037761652306329600, 54123776422857453312000, 2844359511118991175518208000
Offset: 1

Views

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003

Keywords

Comments

Obviously the n-th group has at most n terms.

Crossrefs

Cf. A085913, A085914, A085915.

Extensions

More terms from Ray Chandler, Sep 15 2003
Showing 1-3 of 3 results.

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

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