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 1-10 of 10 results.

A046074 Power of digits of A023052 such that the sum of powers of digits equals A023052.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 13, 14, 17, 16, 16, 17, 17, 17, 19, 19, 19, 19, 20, 21, 21, 23, 23, 23, 23, 23, 25, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 27, 27, 27, 27, 27, 27
Offset: 1

Views

Author

Eric W. Weisstein

Keywords

Links

Crossrefs

Cf. A023052, A003321, A046761.
In other bases: A162217 (base 3), A162220 (base 4), A162223 (base 5), A162226 (base 6), A162229 (base 7), A162232 (base 8), A162235 (base 9).

Extensions

Offset corrected by N. J. A. Sloane, Jun 20 2009
More terms calculated by Joseph S. Myers. Hans Havermann, Jun 18 2009
Cross-references edited by Joseph Myers, Jun 28 2009

A033835 Smallest number > 1 equal to sum of n-th powers of its base-3 digits, or 0 if no such number exists (written in base 10).

Original entry on oeis.org

2, 5, 17, 0, 33, 66, 386, 258, 513, 1026, 0, 16388, 57345, 16389, 196610, 262149, 0, 786438, 3145733, 6291461, 0, 29360132, 0, 67108871, 234881030, 201326601, 1207959557, 2415919109, 3758096387, 5368709130, 10737418245, 30064771083
Offset: 1

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A162216, A162217, A162218. In other bases: A033836 (base 4), A033837 (base 5), A033838 (base 6), A033839 (base 7), A033840 (base 8), A033841 (base 9), A003321 (base 10). - Joseph Myers, Jul 07 2009

A162216 Base-3 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-3 digits, for some k.

Original entry on oeis.org

0, 1, 2, 5, 8, 17, 33, 34, 65, 66, 67, 131, 258, 259, 386, 512, 513, 514, 1026, 1027, 2049, 2050, 3075, 3076, 4100, 16388, 16389, 16390, 57345, 57346, 65538, 65539, 196610, 262149, 262150, 458754, 458755, 786438, 786439, 1048581, 1048582, 1310724
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Comments

Whenever 3|a(n), then a(n+1) = a(n) + 1 (for the same k). The first 6 terms are exactly all the base-3 narcissistic numbers (where k = number of base-3 digits). For these numbers in other bases b = 4, ..., 16 see A010344 - A161953. - M. F. Hasler, Nov 18 2019

Links

Crossrefs

Cf. A162217 (corresponding exponents), A033835, A162218. In other bases: A162219 (base 4), A162222 (base 5), A162225 (base 6), A162228 (base 7), A162231 (base 8), A162234 (base 9), A023052 (base 10).

Programs

A162218 Greatest integer equal to the sum of the n-th powers of its base-3 digits (written in base 10).

Original entry on oeis.org

1, 2, 8, 17, 1, 65, 131, 512, 259, 2050, 4100, 1, 16388, 57346, 65539, 196610, 458755, 1, 1572868, 3670019, 6291461, 1, 41943041, 1, 100663298, 234881030, 335544328, 1207959557, 2415919109, 4831838216, 5368709131, 10737418246, 34359738373
Offset: 0

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162216, A162217, A033835. In other bases: A162221 (base 4), A162224 (base 5), A162227 (base 6), A162230 (base 7), A162233 (base 8), A162236 (base 9), A046761 (base 10).

A162220 Corresponding exponents for A162219.

Original entry on oeis.org

1, 1, 1, 1, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 4, 7, 7, 4, 9, 9, 6, 11, 11, 7, 7, 7, 7, 7, 7, 8, 13, 13, 8, 8, 9, 9, 15, 15, 9, 9, 17, 17, 19, 19, 12, 21, 21, 13, 13, 13, 13, 13, 13, 13, 23, 23, 15, 25, 25, 15, 15, 15, 16, 16, 16, 27, 27, 17, 17, 17, 17, 29, 29, 18, 18, 18, 31, 31, 33, 33, 35
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162219, A033836, A162221. In other bases: A162217 (base 3), A162223 (base 5), A162226 (base 6), A162229 (base 7), A162232 (base 8), A162235 (base 9), A046074 (base 10).

A162223 Corresponding exponents for A162222.

Original entry on oeis.org

1, 1, 1, 1, 1, 2, 2, 3, 3, 7, 4, 5, 4, 4, 6, 6, 6, 13, 8, 9, 9, 16, 14, 13, 15, 15, 14, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 18, 18, 24, 20, 20, 20, 21, 21, 22, 22, 23, 24, 24, 25, 25, 25, 25, 25, 26, 26, 28, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 34, 34, 34, 34
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162222, A033837, A162224. In other bases: A162217 (base 3), A162220 (base 4), A162226 (base 6), A162229 (base 7), A162232 (base 8), A162235 (base 9), A046074 (base 10).

A162226 Corresponding exponents for A162225.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 15, 15, 15, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 19, 20, 20, 21, 21, 21, 21, 21, 21, 21, 23, 24, 24, 25, 25, 25, 25, 25, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 31, 32, 32, 32, 33
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162225, A033838, A162227. In other bases: A162217 (base 3), A162220 (base 4), A162223 (base 5), A162229 (base 7), A162232 (base 8), A162235 (base 9), A046074 (base 10).

A162229 Corresponding exponents for A162228.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 2, 2, 2, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 7, 7, 7, 7, 10, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 19, 19, 19, 19, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162228, A033839, A162230. In other bases: A162217 (base 3), A162220 (base 4), A162223 (base 5), A162226 (base 6), A162232 (base 8), A162235 (base 9), A046074 (base 10).

A162232 Corresponding exponents for A162231.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 3, 7, 7, 3, 4, 4, 4, 4, 3, 3, 3, 10, 10, 5, 5, 5, 13, 13, 8, 7, 7, 7, 7, 5, 5, 5, 5, 5, 16, 16, 8, 8, 6, 19, 19, 7, 7, 7, 10, 10, 10, 10, 7, 7, 8, 22, 22, 11, 11, 8, 25, 25, 9, 13, 13, 13, 13, 28, 28, 14, 14, 10, 10, 31, 31, 16, 16, 16, 16, 11, 12, 34, 34, 17
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162231, A033840, A162233. In other bases: A162217 (base 3), A162220 (base 4), A162223 (base 5), A162226 (base 6), A162229 (base 7), A162235 (base 9), A046074 (base 10).

A162235 Corresponding exponents for A162234.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 3, 3, 5, 5, 4, 3, 3, 3, 4, 7, 7, 5, 5, 5, 9, 9, 6, 5, 5, 11, 11, 7, 13, 13, 7, 7, 7, 8, 9, 9, 9, 9, 15, 15, 17, 17, 9, 9, 10, 10, 10, 19, 19, 10, 21, 21, 12, 12, 23, 23, 12, 12, 13, 13, 13, 13, 13, 25, 25, 13, 14, 14, 15, 15, 27, 27, 29, 29, 18, 16, 31
Offset: 1

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Links

Crossrefs

Cf. A162234, A033841, A162236. In other bases: A162217 (base 3), A162220 (base 4), A162223 (base 5), A162226 (base 6), A162229 (base 7), A162232 (base 8), A046074 (base 10).
Showing 1-10 of 10 results.

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

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