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.

Previous Showing 11-14 of 14 results.

A062937 Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 1459, 1564, 3023, 3129, 3139, 3244, 4703, 4704, 4809, 6383, 6384, 8754, 9384, 18138, 18774, 18834, 19464, 28218, 28224, 28854, 38298, 38304, 79802, 326236, 2463293, 2628864, 14779758, 15773184, 22011172, 88678548, 94639104, 209918592
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			1459 in base 6 is 10431, which interpreted in base 8 is 4377=3*1459.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062934, A062939, A062942, A062943, A062944.

Programs

  • Mathematica
    Join[{0},Select[Range[21*10^7],Mod[FromDigits[IntegerDigits[#,6],8],#]==0&]] (* Harvey P. Dale, Apr 21 2024 *)

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 and a(33)-a(38) from Georg Fischer, Mar 13 2023

A062939 Numbers k that, when expressed in base 6 and then interpreted in base 9, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 51, 54, 105, 306, 324, 630, 2646, 6711, 8998, 9003, 19847, 29513, 30127, 30132, 67662, 71267, 314751, 314928, 405972, 427602, 1009394, 1347704, 1888506, 1889568, 2321838, 2840097, 5383299, 6056364, 7143622, 8086224, 11331036, 11337408, 14382561
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			51 in base 6 is 123, which interpreted in base 9 is 102 = 2*51.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062934, A062937, A062942, A062943, A062944.

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 and a(33)-a(39) from Georg Fischer, Mar 13 2023

A062942 Numbers k that, when expressed in base 6 and then interpreted in base 10, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 308, 4920, 11284, 11914, 144393, 195453, 518659, 866358, 925148, 1010765, 1172718, 1369865, 2141968, 2557924, 4287428, 4296908, 6064590, 8219190, 15347544, 16891738, 18409156, 18532263, 21880744, 23693054, 25724568, 25781448, 88115915, 93066844
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Comments

Zero followed by A032546. [From R. J. Mathar, Oct 02 2008]

Examples

			308 in base 6 is 1232, which interpreted in base 10 is 1232 = 4*308.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062943, A062944.

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 and a(29)-a(34) from Georg Fischer, Mar 13 2023

A331841 When expressed in base 2 and then interpreted in base 5, is a multiple of the original number.

Original entry on oeis.org

0, 1, 3, 6, 9, 10, 18, 21, 27, 30, 54, 57, 60, 63, 89, 90, 108, 114, 126, 130, 178, 180, 189, 228, 300, 356, 378, 390, 630, 712, 780, 900, 1170, 1299, 1300, 1890, 1953, 2340, 2370, 2730, 3510, 3900, 3906, 4740, 7020, 7110, 7410, 7800, 8100, 8190, 9261, 11700
Offset: 1

Views

Author

Dimiter Skordev, Jan 29 2020

Keywords

Examples

			30 = 11110_2; 11110_5 = 780 = 26*30.

Links

Crossrefs

Cf. (with base 2 and b): A062845 (b=3), A062846 (b=4), A062847 (b=6), A062848 (b=7), A062849 (b=8), A062850 (b=9), A032533 (b=10).

Programs

  • Magma
    [0] cat [k:k in [1..12000]|Seqint(Intseq(Seqint(Intseq(k, 2))), 5) mod k eq 0]; // Marius A. Burtea, Jan 29 2020
  • Mathematica
    Prepend[Select[Range[12000], Divisible[FromDigits[IntegerDigits[#, 2], 5], #] &], 0] (* Amiram Eldar, Jan 29 2020 *)
  • PARI
    isok(n) = (n == 0) || (fromdigits(digits(n, 2), 5) % n) == 0; \\ Michel Marcus, Jan 29 2020
Previous Showing 11-14 of 14 results.

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