

A239665


Triangle read by rows in which row n lists the parts of the symmetric representation of sigma of the smallest number whose symmetric representation of sigma has n parts.


14



1, 2, 2, 5, 3, 5, 11, 5, 5, 11, 32, 12, 16, 12, 32, 74, 26, 14, 14, 26, 74, 179, 61, 29, 38, 29, 61, 179, 452, 152, 68, 32, 32, 68, 152, 452, 1250, 418, 182, 152, 100, 152, 182, 418, 1250, 3035, 1013, 437, 342, 85, 85, 342, 437, 1013, 3035, 6958, 1394, 638, 314, 154, 236, 154, 314, 638, 1394, 6958
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OFFSET

1,2


COMMENTS

Row n is also row A239663(n) of A237270.


LINKS

Table of n, a(n) for n=1..66.


EXAMPLE


n A239663(n) Triangle begins: A266094(n)

1 1 [1] 1
2 3 [2, 2] 4
3 9 [5, 3, 5] 13
4 21 [11, 5, 5, 11] 32
5 63 [32, 12, 16, 12, 32] 104
6 147 [74, 26, 14, 14, 26, 74] 228
7 357 [179, 61, 29, 38, 29, 61, 179] 576
8 903 [452, 152, 68, 32, 32, 68, 152, 452] 1408
...
Illustration of initial terms:
.
. _ _ _ _ _ 5
. _ _ _ _ _
. _ _ 3
. _ 
. __ _ 5
.  
. _ _ 2  
. _ __ 2  
. _ 1   
. _ _ _
.
For n = 2 we have that A239663(2) = 3 is the smallest number whose symmetric representation of sigma has 2 parts. Row 3 of A237593 is [2, 1, 1, 2] and row 2 of A237593 is [2, 2] therefore between both Dyck paths in the first quadrant there are two regions (or parts) of sizes [2, 2], so row 2 is [2, 2].
For n = 3 we have that A239663(3) = 9 is the smallest number whose symmetric representation of sigma has 3 parts. The 9th row of A237593 is [5, 2, 2, 2, 2, 5] and the 8th row of A237593 is [5, 2, 1, 1, 2, 5] therefore between both Dyck paths in the first quadrant there are three regions (or parts) of sizes [5, 3, 5], so row 3 is [5, 3, 5].


CROSSREFS

Cf. A000203, A005279, A196020, A236104, A237270, A237271, A235791, A237591, A237593, A239660, A239663, A239931A239934, A240020, A240062, A244050, A245092, A262626, A266094.
Sequence in context: A130327 A224361 A286109 * A178179 A284833 A321202
Adjacent sequences: A239662 A239663 A239664 * A239666 A239667 A239668


KEYWORD

nonn,tabl


AUTHOR

Omar E. Pol, Mar 23 2014


EXTENSIONS

a(16)a(28) from Michel Marcus and Omar E. Pol, Mar 28 2014
a(29)a(36) from Michel Marcus, Mar 28 2014
a(37)a(45) from Michel Marcus, Mar 29 2014
a(46)a(66) from Michel Marcus, Apr 02 2014


STATUS

approved



