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A274407 Numbers n with the property that when divided by their last digit the remainder of the division is their penultimate digit. 1

%I #12 Jun 20 2016 16:20:09

%S 13,19,23,26,29,39,46,49,59,69,79,89,101,102,104,105,148,167,201,202,

%T 204,205,208,257,301,302,303,304,305,306,313,323,326,346,347,348,401,

%U 402,404,405,408,437,501,502,504,505,527,548,601,602,603,604,605,606,608,613,617,623,626,646,701,702

%N Numbers n with the property that when divided by their last digit the remainder of the division is their penultimate digit.

%H Jean-Marc Falcoz, <a href="/A274407/b274407.txt">Table of n, a(n) for n = 1..10555</a>

%F a(n) = a(n-1134) + 12600. - _Charles R Greathouse IV_, Jun 20 2016

%F a(n) = 100n/9 + O(1), in particular |a(n) - 100n/9| <= 192. - _Charles R Greathouse IV_, Jun 20 2016

%e 13 divided by 3 is (3*4)+1 --> 1 is the remainder

%e 19 divided by 9 is (2*9)+1 --> 1 is the remainder

%e 23 divided by 3 is (3*7)+2 --> 2 is the remainder

%o (PARI) is(n)=n%10 && n%(n%10)==(n\10)%10 && n>9 \\ _Charles R Greathouse IV_, Jun 20 2016

%K nonn,base,easy

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Jun 20 2016

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Last modified April 24 11:21 EDT 2024. Contains 371936 sequences. (Running on oeis4.)