%I #14 Sep 23 2022 03:38:20

%S 2,8,90,3,11,96,10,18,92,12,80,98,13,81,906,20,82,908,21,83,916,22,84,

%T 94,23,85,902,24,86,900,25,87,918,26,88,926,27,89,904,28,800,912,29,

%U 801,910,30,802,928,31,803,936,32,804,914,33,805,922,34,806,920,35,807,938,36,808,946,37,809,924,38,810,932,39,811

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

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

%e The first six terms are 2, 8, 90, 3, 11, 96, ...

%e Translated into English: Two, Eight, Ninety, Three, Eleven, Ninety-six, ...

%e We see that the initials of the first triple spell T.E.N. and the first triple has a sum divisible by 10 (2+8+90 = 100); the same is true of the second triple (3+11+96 = 110), etc.

%Y Cf. A319125 where the product is divisible by 10 instead of the sum.

%K nonn,word

%O 1,1

%A _Eric Angelini_, Sep 11 2018

%E Incorrect terms fixed by _Eric Fox_, Jul 19 2022