

A274407


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


1



13, 19, 23, 26, 29, 39, 46, 49, 59, 69, 79, 89, 101, 102, 104, 105, 148, 167, 201, 202, 204, 205, 208, 257, 301, 302, 303, 304, 305, 306, 313, 323, 326, 346, 347, 348, 401, 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
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OFFSET

1,1


LINKS

JeanMarc Falcoz, Table of n, a(n) for n = 1..10555


FORMULA

a(n) = a(n1134) + 12600.  Charles R Greathouse IV, Jun 20 2016
a(n) = 100n/9 + O(1), in particular a(n)  100n/9 <= 192.  Charles R Greathouse IV, Jun 20 2016


EXAMPLE

13 divided by 3 is (3*4)+1 > 1 is the remainder
19 divided by 9 is (2*9)+1 > 1 is the remainder
23 divided by 3 is (3*7)+2 > 2 is the remainder


PROG

(PARI) is(n)=n%10 && n%(n%10)==(n\10)%10 && n>9 \\ Charles R Greathouse IV, Jun 20 2016


CROSSREFS

Sequence in context: A050717 A188540 A088184 * A054986 A210582 A071621
Adjacent sequences: A274404 A274405 A274406 * A274408 A274409 A274410


KEYWORD

nonn,base,easy


AUTHOR

Eric Angelini and JeanMarc Falcoz, Jun 20 2016


STATUS

approved



