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.

A242094 Complement of A003249.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74
Offset: 1

Views

Author

Eric M. Schmidt, Aug 14 2014

Keywords

Comments

This is the function named u in [Carlitz].
First differs from A187947 at a(46)=51.

Links

Crossrefs

Cf. A003249.

Programs

A247427 2n - m, where m is the largest integer such that A003249(m) <= n.

Original entry on oeis.org

2, 4, 6, 8, 10, 12, 14, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 40, 42, 44, 46, 48, 50, 52, 54, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 80, 82, 84, 86, 88, 90, 92, 94, 95, 97, 99, 101, 103, 104, 106, 108, 110, 112, 114, 116, 118, 119
Offset: 1

Views

Author

Eric M. Schmidt, Sep 17 2014

Keywords

Comments

This is the function named sigma in [Carlitz] (cf. Thm. 7.2).

Links

Formula

Definition of [Carlitz]: a(n) = A003254(A003247(n)).

A247424 Odd numbers not of the form 2*A005206(A003249(m)) - 1.

Original entry on oeis.org

1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 45, 47, 49, 53, 55, 57, 59, 63, 65, 69, 71, 73, 75, 79, 81, 83, 85, 87, 89, 91, 95, 97, 99, 101, 105, 107, 109, 111, 113, 115, 117, 121, 123, 125, 127, 129, 131, 133, 137, 139, 141, 143
Offset: 1

Views

Author

Eric M. Schmidt, Sep 16 2014

Keywords

Comments

This is the function named y' in [Carlitz] (cf. proof of Thm. 7.31), which defines it as the complement of A247423.

Links

A247429 A247427(n) for n in A003249; A247427(n) - 1 for other n.

Original entry on oeis.org

1, 3, 5, 7, 9, 11, 13, 15, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 41, 43, 45, 47, 49, 51, 53, 55, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 81, 83, 85, 87, 89, 91, 93, 95, 96, 98, 100, 102, 104, 105, 107, 109, 111, 113, 115, 117, 119
Offset: 1

Views

Author

Eric M. Schmidt, Sep 17 2014

Keywords

Comments

This is the function named tau in [Carlitz].

Links

A003252 The number m such that A003251(m) = A003231(n).

Original entry on oeis.org

3, 6, 9, 12, 15, 18, 21, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 61, 64, 67, 70, 73, 76, 79, 82, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 122, 125, 128, 131, 134, 137, 140, 143, 145, 148, 151, 154, 157, 159, 162, 165, 168, 171
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

This is the function named lambda in [Carlitz]. - Eric M. Schmidt, Aug 14 2014

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A003253.

Formula

a(n) = 3n - j(n), where j(n) is the maximum number such that j(n) <= A003249(n). [Carlitz, Theorem 7.15.] - Eric M. Schmidt, Aug 17 2014

Extensions

Sequence corrected and extended by, and definition from Eric M. Schmidt, Aug 17 2014
Showing 1-5 of 5 results.

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

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