A281068 a(1) = 1. a(n) is the smallest natural number that is not already in the sequence such that 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, 2, 101, 11, 9, 18, 19, 91, 81, 82, 102, 103, 83, 85, 87, 92, 105, 88, 3, 89, 801, 802, 107, 93, 803, 805, 807, 95, 808, 10, 97, 98, 12, 809, 810, 99, 811, 901, 812, 813, 902, 108, 13, 903, 814, 905, 815, 907, 908, 21, 816, 909, 817, 910, 911, 912, 818, 913, 914, 915, 916, 917, 918, 919

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(4) were 100 (one hundred, which ends with d), it would make the sequence finite. Therefore, a(4) has to be 101.
		

Crossrefs

Cf. A277971, A277972, A281067.