A280657 Numbers beginning with their digital root in decimal representation.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 20, 29, 30, 39, 40, 49, 50, 59, 60, 69, 70, 79, 80, 89, 90, 99, 100, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 199, 200, 209, 218, 227, 236, 245, 254, 263, 272, 281, 290, 299, 300, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 399, 400, 409, 418, 427, 436

Offset

1,3

Comments

10% of the nonnegative integers are in the sequence, approximatively.

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..10001

Example

The digital root of 10 is 1 and "1" is the first digit of "10", so 10 is in the sequence.
The digital root of 11 is 2 and "2" is not the first digit of "11", so 11 is not in the sequence.
The digital root of 19 is 1 and "1" is the first digit of "19", so 19 is in the sequence.

Crossrefs

Sequence in context: A207506 A343131 A119246 * A117241 A108191 A108193

Adjacent sequences: A280654 A280655 A280656 * A280658 A280659 A280660

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Apr 12 2017

Status

approved