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.

A046761 Largest number that is equal to sum of n-th powers of its digits.

Original entry on oeis.org

1, 9, 1, 407, 9474, 194979, 548834, 14459929, 88593477, 912985153, 4679307774, 94204591914, 1, 564240140138, 28116440335967, 1, 4338281769391371, 35875699062250035, 1, 4929273885928088826, 63105425988599693916
Offset: 0

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Keywords

Crossrefs

In other bases: A162218 (base 3), A162221 (base 4), A162224 (base 5), A162227 (base 6), A162230 (base 7), A162233 (base 8), A162236 (base 9).

Extensions

Cross-references edited by Joseph Myers, Jun 28 2009

A033837 Smallest number > 1 equal to sum of n-th powers of its base-5 digits, or 0 if no such number exists (written in base 10).

Original entry on oeis.org

2, 13, 28, 289, 308, 4890, 257, 66562, 322217, 0, 0, 0, 16387, 268533762, 2204944815, 172449032, 34876823313, 207708636457, 0, 3315971951065, 8837942823632, 53027623387338, 422589088112942, 1129785254793
Offset: 1

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Keywords

Crossrefs

Cf. A162222, A162223, A162224. In other bases: A033835 (base 3), A033836 (base 4), A033838 (base 6), A033839 (base 7), A033840 (base 8), A033841 (base 9), A003321 (base 10). - Joseph Myers, Jul 07 2009

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

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Author

Joseph Myers, Jun 28 2009

Keywords

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).

A162221 Greatest integer equal to the sum of the n-th powers of its base-4 digits (written in base 10).

Original entry on oeis.org

1, 3, 1, 62, 243, 33, 922, 2699, 13125, 40393, 1, 2049, 1075174, 6401871, 1, 57592238, 129336777, 516822801, 1163047905, 524289, 1, 62770507831, 1, 8388609, 1, 847624153770, 1, 53379719265825, 183016755558795, 411784948543867
Offset: 0

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Author

Joseph Myers, Jun 28 2009

Keywords

Crossrefs

Cf. A162219, A162220, A033836. In other bases: A162218 (base 3), A162224 (base 5), A162227 (base 6), A162230 (base 7), A162233 (base 8), A162236 (base 9), A046761 (base 10).

A162222 Base 5 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-5 digits, for some k.

Original entry on oeis.org

0, 1, 2, 3, 4, 13, 18, 28, 118, 257, 289, 308, 353, 419, 4890, 4891, 9113, 16387, 66562, 322217, 1874374, 172449032, 268533762, 338749352, 2204944815, 2204944816, 2415951874, 3250054360, 3250054361, 3264337734, 4424304070, 4424304071
Offset: 1

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Author

Joseph Myers, Jun 28 2009

Keywords

Comments

Whenever a(n) is a multiple of 5, then a(n+1) = a(n) + 1 is also a base 5 perfect digital invariant, with the same exponent k. - M. F. Hasler, Nov 21 2019

Crossrefs

Cf. A162223 (corresponding exponents), A010346 (restriction to power = number of digits), A033837, A162224. In other bases: A162216 (base 3), A162219 (base 4), A162225 (base 6), A162228 (base 7), A162231 (base 8), A162234 (base 9), A023052 (base 10).

Programs

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

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Author

Joseph Myers, Jun 28 2009

Keywords

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).

A162227 Greatest integer equal to the sum of the n-th powers of its base-6 digits (written in base 10).

Original entry on oeis.org

1, 5, 1, 251, 1, 6197, 36140, 269458, 391907, 10067135, 1, 1, 1, 6170640875, 1, 124246559501, 1, 5341093125745, 19418246235419, 58598336876363, 196242885967642, 3359860808719207, 1, 36185564197761935
Offset: 0

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Crossrefs

Cf. A162225, A162226, A033838. In other bases: A162218 (base 3), A162221 (base 4), A162224 (base 5), A162230 (base 7), A162233 (base 8), A162236 (base 9), A046761 (base 10).

A162230 Greatest integer equal to the sum of the n-th powers of its base-7 digits (written in base 10).

Original entry on oeis.org

1, 6, 45, 250, 1, 9286, 35411, 794376, 72865, 34403018, 9885773, 1500022495, 1, 28700208851, 1, 2352056093102, 1, 102340463411217, 1, 3123368686057682, 1, 132116164569671440, 402070508232683666, 5528252581301500133
Offset: 0

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Crossrefs

Cf. A162228, A162229, A033839. In other bases: A162218 (base 3), A162221 (base 4), A162224 (base 5), A162227 (base 6), A162233 (base 8), A162236 (base 9), A046761 (base 10).

A162233 Greatest integer equal to the sum of the n-th powers of its base-8 digits (written in base 10).

Original entry on oeis.org

1, 7, 52, 433, 273, 25639, 212419, 2087646, 13606405, 40695508, 637339524, 6710775966, 32298119799, 497577637886, 268451841, 1002493281673, 66627168235658, 17180000257, 5190196317533094, 57033725899507007
Offset: 0

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Crossrefs

Cf. A162231, A162232, A033840. In other bases: A162218 (base 3), A162221 (base 4), A162224 (base 5), A162227 (base 6), A162230 (base 7), A162236 (base 9), A046761 (base 10).

A162236 Greatest integer equal to the sum of the n-th powers of its base-9 digits (written in base 10).

Original entry on oeis.org

1, 8, 50, 1052, 1824, 65539, 36804, 5300099, 6287267, 156608074, 3302332571, 177148, 155896317510, 1212041747339, 2113843488367, 5752216689703, 320659684133768, 6774649666149786, 37860400025315399, 157971147790033100
Offset: 0

Views

Author

Joseph Myers, Jun 28 2009

Keywords

Crossrefs

Cf. A162234, A162235, A033841. In other bases: A162218 (base 3), A162221 (base 4), A162224 (base 5), A162227 (base 6), A162230 (base 7), A162233 (base 8), A046761 (base 10).
Showing 1-10 of 10 results.