A101316 - OEIS

A101316

Sequence starts with 1 odd digit, 2 even digits, 2 odd digits, 1 even digit, then 3 odd, 2 even, 3 odd, 3 even, 3 odd, 4 even, 4 odd, 1 even, etc., where these digits are determined by the sequence itself, and the parity alternates. Always group the digits to give the slowest rate of growth subject to a(n-1) < a(n).

%I #9 May 19 2021 00:21:19

%S 1,2,21,32,33,34,41,51,62,63,71,82,84,91,93,211,311,411,511,522,531,

%T 533,622,711,713,721,731,733,742,751,753,754,822,911,913,915,2111,

%U 3111,3122,4112

%N Sequence starts with 1 odd digit, 2 even digits, 2 odd digits, 1 even digit, then 3 odd, 2 even, 3 odd, 3 even, 3 odd, 4 even, 4 odd, 1 even, etc., where these digits are determined by the sequence itself, and the parity alternates. Always group the digits to give the slowest rate of growth subject to a(n-1) < a(n).

%C Self-description of the size of the blocks of similar-parity digits with a(n) < a(n+1).

%K base,nonn,more

%O 1,2

%A _Eric Angelini_, Jan 25 2005