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 14 results. Next

A062845 When expressed in base 2 and then interpreted in base 3, is a multiple of the original number.

Original entry on oeis.org

0, 1, 5, 6, 10, 12, 30, 36, 60, 120, 180, 215, 216, 252, 360, 430, 432, 1080, 2730, 3276, 13710, 14724, 16380, 20520, 24624, 24840, 27125, 27420, 32760, 38880, 48606, 49091, 54250, 54840, 97212, 98280
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Comments

The numbers 2*m, 4*m and 8*m are also terms of the sequence for m=a(122). - Dimiter Skordev, Mar 29 2020

Examples

			30 = 11110_2; 11110_3 = 120 = 4*30.

Links

Crossrefs

Cf. A062846, A062847, A062848, A062849, A062850, A032533, A062853.
Cf. A005836.

Programs

  • Magma
    [0] cat [k:k in [1..100000]|Seqint(Intseq(Seqint(Intseq(k, 2))),3) mod k eq 0]; // Marius A. Burtea, Dec 29 2019
  • Mathematica
    {0} ~Join~ Select[Range[10^5], Mod[ FromDigits[ IntegerDigits[#, 2], 3], #] == 0 &] (* Giovanni Resta, Dec 10 2019 *)
  • PARI
    isok(m) = (m==0) || fromdigits(digits(m, 2), 3) % m == 0; \\ Michel Marcus, Feb 15 2020
  • Python
    def BaseUp(n,b):
    up, b1 = 0, 1
    while n > 0:
        up, b1, n = up+(n%b)*b1, b1*(b+1), n//b
    return up
n, k = 1, 0
print(1,0)
while n < 35:
    n, k = n+1, k+1
    while BaseUp(k,2)%k != 0:
        k = k+1
    print(n,k) # A.H.M. Smeets, Mar 31 2020

A062923 Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 8, 12, 16, 30, 32, 48, 64, 120, 128, 166, 192, 256, 278, 480, 512, 664, 765, 768, 1024, 1112, 1390, 1682, 1803, 1920, 2048, 2426, 2656, 3060, 3072, 4096, 4365, 4448, 5446, 5560, 6728, 7212, 7441, 7680, 8192, 9704, 9945, 10624, 12240, 12288, 16384, 17460
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			8 in base 4 is 20, which interpreted in base 8 is 16 = 2*8.

Links

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062925, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943, A062944.

Programs

  • Mathematica
    Join[{0},Select[Range[18000],Mod[FromDigits[IntegerDigits[#,4],8],#]==0&]] (* Harvey P. Dale, Feb 10 2024 *)

Extensions

Offset changed to 1 and more terms from Georg Fischer, Mar 13 2023

A062925 Numbers k that, when expressed in base 4 and then interpreted in base 9, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 5, 10, 15, 25, 75, 100, 125, 355, 435, 500, 1775, 2415, 3675, 5825, 9660, 14700, 17074, 20786, 22382, 23300, 27300, 79716, 83144, 87087, 97860, 103930, 125460, 172105, 331275, 332576, 348348, 415720, 1325100, 1330304, 1531980
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			5 in base 4 is 11, which interpreted in base 9 is 10 = 2*5.

Links

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943, A062944.

Programs

  • Mathematica
    Join[{0},Select[Range[1540000],Divisible[FromDigits[IntegerDigits[#,4],9],#]&]] (* Harvey P. Dale, Sep 03 2021 *)
  • PARI
    select(n->n==0 || fromdigits(digits(n,4), 9) % n == 0, [0..100000]) \\ Andrew Howroyd, Jun 28 2018

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 by Georg Fischer, Mar 13 2023

A062928 Numbers k that, when expressed in base 5 and then interpreted in base 6, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 697, 704, 705, 764, 765, 1469, 1470, 1477, 1537, 2242, 2309, 2310, 2377, 3074, 3082, 590567, 591229, 595982, 2361731, 6900704, 7111031, 11808655, 34503520, 35555155, 65205900, 70204260, 70854060
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			704 in base 5 is 10304, which interpreted in base 6 is 1408 = 2*704.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943, A062944.

Programs

  • Mathematica
    Join[{0},Select[Range[12000000],Divisible[FromDigits[ IntegerDigits[ #,5],6],#]&]] (* Harvey P. Dale, Jul 20 2014 *)

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 and a(28)-a(32) from Georg Fischer, Mar 13 2023

A062944 Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 51, 102, 105, 153, 156, 207, 210, 258, 261, 312, 315, 2589, 2590, 2601, 2753, 5354, 5355, 5506, 8108, 8259, 8260, 10861, 11013, 11025, 13614, 13615, 13626, 13766, 13778, 16379, 16380, 16531, 33045
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Comments

Zero followed by A032549. [From R. J. Mathar, Oct 02 2008]
There are only 47 terms up to 10 million, the largest of which is 7581525. - Harvey P. Dale, Jul 09 2016

Examples

			51 in base 7 is 102, which interpreted in base 10 is 102=2*51

Links

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, A062942, A062943.

Programs

  • Mathematica
    Join[{0},Select[Range[35000],Divisible[FromDigits[IntegerDigits[ #,7]], #]&]] (* Harvey P. Dale, Jul 09 2016 *)

Extensions

Offset changed to 1 by Georg Fischer, Mar 13 2023

A062929 Numbers k that, when expressed in base 5 and then interpreted in base 7, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 3640, 7863, 7894, 8186, 11830, 18200, 39315, 39470, 40930, 59150, 2521602, 3278326, 4167678, 13196470, 17870857, 17992485, 20838390, 36724952, 58516102, 73231902, 89354285, 89962425, 105564531, 200046408, 301764432, 446771425, 449812125, 633387186
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			3640 in base 5 is 104030, which interpreted in base 7 is 18200=5*3640.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062930, A062931, A062934, A062937, A062939, A062942, A062943, A062944.

Programs

  • Mathematica
    Select[Range[0,20*10^6],Divisible[FromDigits[IntegerDigits[#,5],7],#]&] (* Harvey P. Dale, Jul 18 2015 *)

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 and a(22)-a(33) from Georg Fischer, Mar 13 2023

A062930 Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 129, 130, 259, 260, 389, 390, 400, 519, 520, 529, 530, 720, 774, 780, 1560, 2340, 2394, 2400, 3120, 3354, 3380, 4680, 6734, 6760, 7017, 9360, 10397, 10400, 10657, 14037, 16770, 16900, 18720, 20280, 24654, 33670, 33800, 35085, 40560, 51985, 52000
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			129 in base 5 is 1004, which interpreted in base 8 is 516 = 4*129.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062931, A062934, A062937, A062939, A062942, A062943, A062944.

Extensions

Offset changed to 1 by Georg Fischer, Mar 13 2023

A062931 Numbers k that, when expressed in base 5 and then interpreted in base 9, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 28, 30, 58, 60, 88, 90, 118, 120, 168, 179, 180, 348, 359, 360, 840, 895, 900, 1740, 1795, 1800, 5370, 5400, 11726, 11984, 16200, 21142, 26850, 27000, 38340, 57574, 137128, 183960, 214207, 293628, 421560, 750288, 866700, 1043027, 1304280, 1468140
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Examples

			28 in base 5 is 103, which interpreted in base 9 is 84 = 3*28.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062934, A062937, A062939, A062942, A062943, A062944.

Programs

  • Mathematica
    Join[{0},Select[Range[11*10^5],Divisible[FromDigits[ IntegerDigits[ #,5],9],#]&]] (* Harvey P. Dale, Apr 27 2015 *)

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 by Georg Fischer, Mar 13 2023

A062934 Numbers k that, when expressed in base 6 and then interpreted in base 7, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 14027, 14028, 14103, 14112, 14867, 14876, 14951, 14952, 10099698, 10099846, 20210795, 30310661, 30311795, 50522741, 723825175, 142569349356, 482364801576, 486288289536, 972577541899, 1945641402768, 2474129673299
Offset: 1

Views

Author

Erich Friedman, Jul 21 2001

Keywords

Comments

1.6 * 10^13 < a(28) <= 24335728984305. - Delbert L. Johnson, May 16 2024

Examples

			14027 in base 6 is 144535, which interpreted in base 7 is 28054 = 2*14027.

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062937, A062939, A062942, A062943, A062944.

Extensions

More terms from Naohiro Nomoto, Aug 06 2001
Offset changed to 1 and a(17)-a(20) from Georg Fischer, Mar 13 2023
a(21)-a(27) from Delbert L. Johnson, May 16 2024

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
Showing 1-10 of 14 results. Next

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

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