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.

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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

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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

A343550 Numbers k > 9 such that the number m formed by inserting a digit 0 between each pair of digits in k is divisible by k.

Original entry on oeis.org

10, 15, 18, 20, 30, 40, 45, 50, 60, 70, 80, 90, 100, 111, 120, 126, 150, 180, 200, 222, 240, 250, 285, 300, 333, 360, 400, 444, 450, 480, 500, 555, 600, 666, 700, 750, 777, 800, 888, 900, 999, 1000, 1041, 1110, 1185, 1200, 1260, 1395, 1443, 1500, 1554, 1665
Offset: 1

Views

Author

Lars Blomberg, Apr 19 2021

Keywords

Comments

One-digit terms are not considered since no 0 digits can be inserted.
If k is a term then so is k*10^i, i > 0.
If k is a term then so is k*i, 2 <= i <= 9 as long as no carry occurs in the multiplication.
The number of terms with n digits is (12, 29, 51, 107, 149, 240, 308, 438, 566, 789, 1007), 2 <= n <= 12.

Examples

			18 is a term because 108/18=6, and so is 1185 because 1010805/1185=853.
10101/111=91, 1010100/1110=910, 101010000/11100=9100, ... so 111, 1110, 11100, ... are all terms.
1000401/1041=961 and 2000802/2082=961 so 1041 and 2082 are terms but 3123 is not since it does not divide 3010203.

Crossrefs

Cf. A051022, A285176, A343551, A343552.
Cf. A062846 (binary), A062891 (ternary).
Previous Showing 11-12 of 12 results.

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

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