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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
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..10555

FORMULA

a(n) = a(n-1134) + 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 Jean-Marc Falcoz, Jun 20 2016

STATUS

approved

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Last modified December 16 01:43 EST 2019. Contains 330013 sequences. (Running on oeis4.)