

A116939


Lexicographically earliest sequence such that each i occurs exactly i+1 times and succeeding terms differ exactly by 1 or +1.


5



0, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 6, 5, 6, 5, 6, 5, 6, 7, 6, 7, 6, 7, 6, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 11, 10, 11, 10, 11, 10, 11, 10, 11, 10, 11, 12, 11, 12, 11, 12, 11, 12, 11, 12, 11, 12, 11, 12, 13, 12, 13
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OFFSET

0,3


COMMENTS

for n>1: let x = number of occurrences of the most frequent term so far, a(n) = if x=a(n1) then x+1 else x, a(1) = 1;


LINKS



MATHEMATICA

a = {0}; Do[AppendTo[a, If[Count[a, #  1] > #  1, # + 1, #  1]] &@ a[[n]], {n, 87}]; a (* Michael De Vlieger, Dec 07 2016 *)


PROG

(Haskell)
a116939 n = a116939_list !! n
a116939_list = 0 : f [0] where
f xs@(x : _) = ys ++ f ys where
ys = if odd x then (x + 1 : x : map (+ 1) xs) else map (+ 1) xs


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



