A347183 Lexicographically earliest sequence of distinct positive integers such that all digits of a(n) are visible in a(n) + a(n+1).

1, 9, 10, 90, 19, 72, 55, 100, 900, 109, 81, 27, 45, 200, 802, 18, 63, 73, 64, 82, 46, 118, 693, 243, 99, 300, 703, 334, 1000, 9000, 1009, 891, 198, 621, 405, 135, 180, 630, 406, 54, 91, 28, 154, 261, 351, 162, 450, 595, 360, 270, 432, 811, 207, 495, 459, 36, 127, 144, 297, 675, 892, 397, 342

Offset: 1

Author

Eric Angelini and Carole Dubois, Aug 22 2021

Keywords

• base
• nonn

Comments

a(7) = 55 has two digits "5"; they must both be visible in a(7) + a(8) and this is the case as a(7) + a(8) = 55 + 100 = 155.

Examples

			a(1) + a(2) =  1 +  9 =  10;
a(2) + a(3) =  9 + 10 =  19;
a(3) + a(4) = 10 + 90 = 100;
a(4) + a(5) = 90 + 19 = 109;
a(5) + a(6) = 19 + 72 =  91; etc.
		

Crossrefs

Cf. A347180, A347181, A347182.