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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A167461 Anagram multiples of 123456789.

Original entry on oeis.org

1234567890, 1358024679, 1604938257, 1728395046, 1975308624, 2098765413, 2469135780, 2716049358, 2839506147, 3086419725, 3209876514, 3827160459, 3950617248, 4197530826, 4320987615, 4938271560, 5061728349, 5308641927
Offset: 1

Views

Author

Zak Seidov, Nov 04 2009

Keywords

Comments

There are exactly 27 all_ten_distinct_digit numbers divisible by 123456789:
1234567890, 1358024679, 1604938257, 1728395046, 1975308624, 2098765413,
2469135780, 2716049358, 2839506147, 3086419725, 3209876514, 3827160459,
3950617248, 4197530826, 4320987615, 4938271560, 5061728349, 5308641927,
5432098716, 6172839450, 6419753028, 6543209817, 7530864129, 7654320918,
8641975230, 8765432019, 9876543120.

Crossrefs

Cf. A050278 (Pandigital numbers: numbers containing the digits 0-9), A053654, A161750.

A167476 Pandigital numbers n with at least 4 nontrivial anagrams divisible by n.

Original entry on oeis.org

1039675824, 1053826974, 1068253974, 1068379524, 1073968254, 1075396824, 1098765432, 1204756839, 1234567890, 1357802469
Offset: 1

Views

Author

Zak Seidov, Nov 04 2009

Keywords

Comments

For a(7) and a(9), there are 5 nontrivial anagrams divisible by n.
List of anagrams:
{1039675824,2079351648,4158703296,8317406592,9357082416},
{1053826974,2107653948,4215307896,5269134870,8430615792},
{1068253974,2136507948,4273015896,5341269870,8546031792},
{1068379524,2136759048,4273518096,5341897620,8547036192},
{1073968254,2147936508,4295873016,5369841270,8591746032},
{1075396824,2150793648,4301587296,5376984120,8603174592},
{1098765432,2197530864,4395061728,5493827160,7691358024,8790123456},
{1204756839,2409513678,4819027356,6023784195,9638054712},
{1234567890,2469135780,4938271560,6172839450,8641975230,9876543120},
{1357802469,2715604938,5431209876,6789012345,9504617283}.

Examples

			a(1)=1039675824 with 4 anagram multiples:
2*a(1)=2079351648, 4*a(1)=4158703296, 8*a(1)=8317406592, 9*a(1)=9357082416;
a(2)=1053826974 with 4 anagram multiples:
2*a(2)=2107653948, 4*a(2)=4215307896, 5*a(2)=5269134870, 8*a(2)=8430615792.
		

Crossrefs

Showing 1-2 of 2 results.