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A372181
a(n) is the smallest number whose symmetric representation of sigma consists of n copies of unimodal pattern 121 (separated by 0's if n > 1).
2
6, 78, 1014, 12246, 171366, 1922622, 28960854, 300014754, 4174476774
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OFFSET
1,1
COMMENTS
This sequence is infinite (see
A372180
).
LINKS
Table of n, a(n) for n=1..9.
EXAMPLE
a(2) = 78 is the smallest number whose symmetric representations of sigma has unimodal pattern 1210121.
a(4) = 12246 is the smallest number whose symmetric representations of sigma has unimodal pattern 121012101210121.
MATHEMATICA
(* function seqQ[ ] is defined in
A372180
*)
smallest[s_, m_] := NestWhile[#+1&, s, !seqQ[#, m]&]
a372181[n_] := Rest[FoldList[smallest[#1, #2]&, 1, Range[n]]]
a372181[9] (* long computation time *)
CROSSREFS
Row 2 of
A367377
.
Row 1 of
A372180
.
Cf.
A237593
.
Sequence in context:
A186663
A069670
A074112
*
A197103
A345360
A208473
Adjacent sequences:
A372178
A372179
A372180
*
A372182
A372183
A372184
KEYWORD
nonn
,
more
AUTHOR
Hartmut F. W. Hoft
, Apr 21 2024
STATUS
approved