A347260 Lexicographically earliest sequence S of distinct nonnegative terms such that the digits of (a(n) + a(n+1)) are the first n digits of S.

1, 0, 10, 91, 919, 9190, 91901, 919018, 9190173, 91901746, 919017453, 9190174538, 91901745381, 919017453809, 9190174538100, 91901745380991, 919017453809928, 9190174538099262, 91901745380992639, 919017453809926380, 9190174538099263811, 91901745380992638108, 919017453809926381082, 9190174538099263810819, 91901745380992638108199, 919017453809926381081990

Offset

1,3

Comments

A self-describing sequence.

Links

Table of n, a(n) for n=1..26.

Example

a(1) + a(2) = 1 + 0 = 1 and this 1 is the first digit of S;
a(2) + a(3) = 0 + 10 = 10 and 1, 0 are the first 2 digits of S;
a(3) + a(4) = 10 + 91 = 101 and 1, 0, 1 are the first 3 digits of S;
a(4) + a(5) = 91 + 919 = 1010 and 1, 0, 1, 0 are the first 4 digits of S;
a(5) + a(6) = 919 + 9190 = 10109 and 1, 0, 1, 0, 9 are the first 5 digits of S;
etc.

Crossrefs

Cf. A300000.

Sequence in context: A051789 A343354 A338678 * A267833 A354380 A015467

Adjacent sequences: A347257 A347258 A347259 * A347261 A347262 A347263

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Sep 30 2021

Status

approved