A319125 Three successive terms spelling the acronym T.E.N. when the sequence is translated in English, have a product divisible by 10.

2, 8, 95, 3, 11, 90, 10, 18, 9, 12, 80, 19, 13, 81, 900, 20, 82, 91, 21, 83, 910, 22, 84, 905, 23, 85, 98, 24, 86, 915, 25, 87, 94, 26, 88, 920, 27, 89, 930, 28, 800, 93, 29, 801, 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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..78.

Example

The first six terms are 2, 8, 95, 3, 11, 90...
Translated in English: Two, Eight, Ninety-five, Three, Eleven, Ninety...
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.

Crossrefs

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

Sequence in context: A102895 A297451 A295773 * A297688 A126429 A349267

Adjacent sequences: A319122 A319123 A319124 * A319126 A319127 A319128

Keyword

nonn,word

Author

Eric Angelini, Sep 11 2018

Status

approved