The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 31 22:12 EDT 2024. Contains 373007 sequences. (Running on oeis4.)