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a(1) = 10, a(n)= number obtained by adding to each digit of a(n-1) the next digit and adding the leading digit to the final digit.
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%I #6 Oct 27 2023 22:05:38

%S 10,11,22,44,88,1616,7777,14141414,55555555,1010101010101010,

%T 1111111111111111,2222222222222222,4444444444444444,8888888888888888,

%U 16161616161616161616161616161616,77777777777777777777777777777777

%N a(1) = 10, a(n)= number obtained by adding to each digit of a(n-1) the next digit and adding the leading digit to the final digit.

%H <a href="/index/Fi#final">Index entries for sequences related to final digits of numbers</a>

%e 1616 -> (1+6) (6+1) (1+6) (6+1), i.e. 7777.

%Y Cf. A061589.

%K nonn,easy,base

%O 1,1

%A _Amarnath Murthy_, May 13 2001

%E More terms from Larry Reeves (larryr(AT)acm.org) and _Asher Auel_, May 15 2001