Product of repunits = palindromes : another old hat?!

Zakir Seidov zakseidov at gmail.com
Wed Apr 4 07:30:37 CEST 2007


Dear seqfans,

It's known that R(n)^2 (n=1..9) (square of repunits) are palindromes,
but is it old hat that
R(n)*R(m) (n=1..9) for ANY m are  also palindromes   ?!

Zak

ta12=Table[(10^k-1)/9 (10^(k+12)-1)/9,{k,9}]
IntegerDigits[#]==Reverse[IntegerDigits[#]]&/@ta12
{1111111111111,122222222222221,12333333333333321,1234444444444444321,123455555555555554321,12345666666666666654321,1234567777777777777654321,123456788888888888887654321,12345678999999999999987654321}
{True,True,True,True,True,True,True,True,True}

Weisstein, Eric W. "Demlo Number" ,
http://mathworld.wolfram.com/DemloNumber.html
 A002275, A002477, A080151, A080161, and A080162





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