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

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

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: A335034 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