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A199357 Smallest positive integer with n anagrams. 1
1, 12, 112, 102, 11112, 123, 1111112, 10002, 1012, 11122, 11111111112, 1123, 1111111111112, 10000002, 111122, 10112, 11111111111111112, 1023, 1111111111111111112, 11123, 1111122, 100000000002, 11111111111111111111112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

An anagram is a number having the same digits. Leading zeros are not allowed.

LINKS

David W. Wilson, Table of n, a(n) for n = 1..1000

FORMULA

For odd n, a(n) <= (10^n+8)/9, with equality for infinitely many n, including all prime n and other odd values starting at n = 27.

For even n, a(n) <= 10^(n/2)+2, with equality for infinitely many n, including all n = 2*p.

EXAMPLE

a(4) = 102 is the smallest number with 4 anagrams, namely 102, 120, 201, 210. 012 and 021 do not count as they start with 0.

CROSSREFS

Sequence in context: A123933 A199691 A077754 * A293872 A044344 A130838

Adjacent sequences:  A199354 A199355 A199356 * A199358 A199359 A199360

KEYWORD

nonn,base

AUTHOR

David W. Wilson, Nov 05 2011

STATUS

approved

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Last modified July 26 16:44 EDT 2021. Contains 346294 sequences. (Running on oeis4.)