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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.
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%I #15 Feb 19 2017 07:12:05

%S 1,8,2,101,11,9,18,19,91,81,82,102,103,83,85,87,92,105,88,3,89,801,

%T 802,107,93,803,805,807,95,808,10,97,98,12,809,810,99,811,901,812,813,

%U 902,108,13,903,814,905,815,907,908,21,816,909,817,910,911,912,818,913,914,915,916,917,918,919

%N 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.

%C "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.

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

%Y Cf. A277971, A277972, A281067.

%K easy,nonn,word

%O 1,2

%A _Ivan N. Ianakiev_, Jan 14 2017