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A125521 a(n) = minimal difference between two distinct n-digit with property that when one of them is typed into a calculator and rotated 180 degrees, the other one is seen. +0
1
3, 6, 30, 60, 300, 600, 3000, 6000, 30000, 60000 (list; graph; listen)
OFFSET

1,1

FORMULA

If n is even, a(n) is 6 followed by (n - 2) / 2 zeros. If n is odd, a(n) is 3 followed by (n - 1) / 2 zeros.

EXAMPLE

a(3) = 30. If one types 595 into a calculator and rotates it 180 degrees, they will get 565. 595 - 565 = 30. With a little thought, it is provable that 30 is the smallest possible difference.

CROSSREFS

Sequence in context: A136939 A136944 A136946 this_sequence A090932 A157534 A133799

Adjacent sequences: A125518 A125519 A125520 this_sequence A125522 A125523 A125524

KEYWORD

base,nonn

AUTHOR

Tanya Khovanova and Sergei Bernstein (tanyakh(AT)yahoo.com), Dec 29 2006

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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