

A318648


Lexicographically first sequence of distinct nonnegative terms whose succession of digits is the same as in its associated sequence T (see the Comments section for T).


2



21, 10, 1, 910, 11, 8, 2, 91, 71, 12, 78, 9, 210, 22, 5, 3, 61, 13, 710, 211, 14, 101, 23, 32, 92, 15, 24, 610, 25, 6, 81, 93, 911, 212, 110, 26, 31, 16, 921, 102, 213, 33, 711, 103, 214, 27, 1010, 17, 221, 28, 18, 310, 29, 3110, 19, 111, 104, 222, 105, 62, 4, 51, 1110, 106, 41, 121, 107, 611, 231, 215, 216, 52, 82, 131
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OFFSET

1,1


COMMENTS

T(n) is the sum [last digit of a(n) + first digit of a(n+1)].


LINKS



EXAMPLE

The sequence starts with 21, 10, 1, 910, 11, 8, 2, 91, 71, 12, ...
Let's make the successive sums of [the last digit of a(n) + the first digit of a(n+1)]; we have [1+1] = 2; then [0+1] = 1; then [1+9] = 10; then [0+1] = 1; then [1+8] = 9; then [8+2] = 10; then [2+9] = 11; then [1+7] = 8; then [1+1] = 2; etc.
Those successive sums build the sequence T = 2, 1, 10, 1, 9, 10, 11, 8, 2, ... and T shows indeed the same succession of digits as the starting sequence.


CROSSREFS

Cf. A318647 for the product (instead of the sum) of the digits "framing a comma" in the sequence.


KEYWORD

base,nonn


AUTHOR



STATUS

approved



