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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Permutation of A003056: a(n)=A003056(A116942(n)), a(A116941(n))=A003056(n);
for n>1: let x = number of occurrences of the most frequent term so far, a(n) = if x=a(n-1) then x+1 else x, a(1) = 1;
a(A000982(n))=a(A116940(n))=n, a(m)<n for m < A000982(n) and a(m)>n for m>A000982(n).
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
-- Reinhard Zumkeller, Jun 28 2013
CROSSREFS
Sequence in context: A233420 A220098 A246017 * A253174 A008611 A025798
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 27 2006
STATUS
approved

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Last modified July 19 17:03 EDT 2024. Contains 374410 sequences. (Running on oeis4.)