A341731 The array L(n,k) of Barcucci et al. (2021) read by antidiagonals.

1, 2, 2, 4, 4, 6, 8, 8, 54, 8, 16, 16, 486, 104, 21, 32, 32, 4374, 1352, 630, 26, 64, 64

Offset

2,2

Links

Table of n, a(n) for n=2..24.

Elena Barcucci, Antonio Bernini, Stefano Bilotta and Renzo Pinzani, Non-Overlapping Matrices via Dyck Words, Enumerative Combinatorics and Applications, ECA 1:2 (2021) #S2R9 [ecajournal.haifa.ac.il].

Example

The array begins:
n\k 4 5 6 7 8 9 10 ...
------------------- ...
2   1 2 6 8 21 26 67 ...
3   2 4 54 104 630 1040 6.2*10^3 ...
4   4 8 486 1352 1.9*10^4 4.1*10^4 5.9*10^5 ...
5   8 16 4374 1.7*10^4 5.7*10^5 1.6*10^6 5.5*10^7 ...
6   16 32 3.9*10^4 2.2*10^5 1.7*10^7 6.6*10^7 5.2*10^9 ...
7   32 64 3.5*10^5 3.0*10^6 5.1*10^8 2.7*10^9 4.9*10^11 ...
8   64 128 3.1*10^6 3.8*10^7 1.5*10^10 1.1*10^11 4.6*10^13 ...
9   128 256 2.8*10^7 5.0*10^8 4.6*10^11 4.2*10^12 4.3*10^15 ...
...
The first few antidiagonals are:
1,
2,2,
4,4,6,
8,8,54,8,
16,16,486,104,21,
32,32,4374,1352,630,26,
...

Crossrefs

Rows 2 and 3 are A341732 and A341733.

Sequence in context: A218064 A352227 A334001 * A183002 A211859 A057601

Adjacent sequences: A341728 A341729 A341730 * A341732 A341733 A341734

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Mar 07 2021

Status

approved