A319125 - OEIS

%I #6 Jan 19 2019 04:15:43

%S 2,8,95,3,11,90,10,18,9,12,80,19,13,81,900,20,82,91,21,83,910,22,84,

%T 905,23,85,98,24,86,915,25,87,94,26,88,920,27,89,930,28,800,93,29,801,

%U 940,30,802,96,31,803,950,32,804,925,33,805,98,34,806,935,35,807,902,36,808,945,37,809,960,38,810,97,39,811,970,200,812,99

%N Three successive terms spelling the acronym T.E.N. when the sequence is translated in English, have a product divisible by 10.

%C This is the lexicographically earliest sequence of distinct terms (beginning either with E, N or T) with this property.

%e The first six terms are 2, 8, 95, 3, 11, 90...

%e Translated in English: Two, Eight, Ninety-five, Three, Eleven, Ninety...

%e We see that the first triple spells T.E.N. and has a product divisible by 10 [2*8*95=1520]; the same is true for the second triple [3*11*90=2970], etc.

%Y Cf. A319124 where the sum is divisible by 10 instead of the product.

%K nonn,word

%O 1,1

%A _Eric Angelini_, Sep 11 2018