A281067 a(1) = 1; a(n) is the smallest natural number such that a(n) > a(n-1), and the name of a(n) in English starts with the letter a(n-1) ends with, and a(n) makes the sequence extendable.

1, 8, 10, 19, 91, 801, 802, 1001, 8001, 8002, 100001, 800001, 800002, 1000000, 9000000, 9000001, 11000000, 19000000, 19000001, 80000000, 90000000, 90000001, 800000000, 900000000, 900000001, 8000000000, 9000000000, 9000000001, 11000000000, 19000000000, 19000000001, 80000000000, 90000000000, 90000000001

Offset: 1

Author

Ivan N. Ianakiev, Jan 14 2017

Keywords

• easy
• nonn
• word

Comments

"a(n) makes the sequence extendable" means the name of a(n) does not end with any of the letters r, x, y and d.

Examples

			If a(5) were 90 (ninety, which ends with y), it would make the sequence finite. Therefore, a(5) has to be 91.
		

Crossrefs

Cf. A277971, A277972, A281068.