A319124 Three successive terms spelling the acronym T.E.N. when the sequence is translated in English, have a sum divisible by 10.

2, 8, 90, 3, 11, 96, 10, 18, 92, 12, 80, 98, 13, 81, 906, 20, 82, 908, 21, 83, 916, 22, 84, 94, 23, 85, 902, 24, 86, 900, 25, 87, 918, 26, 88, 926, 27, 89, 904, 28, 800, 912, 29, 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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..74.

Example

The first six terms are 2, 8, 90, 3, 11, 96, ...
Translated into English: Two, Eight, Ninety, Three, Eleven, Ninety-six, ...
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.

Crossrefs

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

Sequence in context: A110384 A153887 A131349 * A294194 A067964 A102895

Adjacent sequences: A319121 A319122 A319123 * A319125 A319126 A319127

Keyword

nonn,word

Author

Eric Angelini, Sep 11 2018

Extensions

Incorrect terms fixed by Eric Fox, Jul 19 2022

Status

approved