OFFSET
1,2
EXAMPLE
----------------------------------------------------------------------
----------------------------------------------------------------------
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
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