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A324078 a(0) = 1, followed by pairs (value of rarest term, multiplicity of that value). Choose the least value of rarest term if there is a tie. 4
1, 1, 1, 1, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 3, 2, 4, 4, 1, 4, 2, 4, 3, 4, 4, 2, 6, 6, 1, 6, 2, 6, 3, 6, 4, 6, 5, 5, 1, 5, 2, 5, 3, 5, 4, 5, 5, 6, 6, 5, 7, 7, 1, 7, 2, 7, 3, 7, 4, 7, 5, 7, 6, 7, 7, 3, 9, 9, 1, 9, 2, 9, 3, 9, 4, 9, 5, 9, 6, 9, 7, 9, 8, 8, 1, 8, 2, 8, 3, 8, 4, 8, 5, 8, 6, 8, 7, 8, 8, 9, 9, 8, 10, 10, 1, 10, 2, 10, 3, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Joerg Arndt, Table of n, a(n) for n = 0..10000

EXAMPLE

1, term 1 appears 1 time, term 1 appears 3 times, term 3 appears 1 time, term 3 appears 2 times, term 2 appears 1 time, ...

MAPLE

P:=proc(q) local a, b, c, d, k, n; a:=[1]: b:=[1]:

for n from 1 to q do c:=10^6:

for k from 1 to nops(b) do if numboccur(a, b[k])<c then

c:=numboccur(a, b[k]): d:=b[k]: fi: od: if numboccur(a, c)=0 then

b:=sort([op([op(b), c])]): fi; a:=[op(a), d, c]: od; print(op(a));

end: P(55); # Paolo P. Lava, Feb 21 2019

MATHEMATICA

Nest[Append[#, First@ SortBy[Union@ Tally[Flatten@ #], Last]] &, {{1}}, 55] // Flatten (* Michael De Vlieger, Feb 25 2019 *)

CROSSREFS

A324079 is the same sequence with pairs after a(0) swapped.

A324080 is the sequence of rarest values, A324081 gives their multiplicities.

Sequence in context: A124330 A055177 A030778 * A068119 A039992 A101988

Adjacent sequences:  A324075 A324076 A324077 * A324079 A324080 A324081

KEYWORD

nonn

AUTHOR

Joerg Arndt, Feb 15 2019

STATUS

approved

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Last modified January 25 19:00 EST 2022. Contains 350572 sequences. (Running on oeis4.)