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A224114 T(n,k) = Number of idempotent n X n 0..k matrices of rank 2. 2
0, 0, 1, 0, 1, 21, 0, 1, 51, 282, 0, 1, 93, 1434, 3070, 0, 1, 147, 4182, 30410, 29505, 0, 1, 213, 9762, 136990, 546465, 260967, 0, 1, 291, 19110, 467290, 3784335, 8815317, 2175236, 0, 1, 381, 34602, 1240310, 18925485, 94529631 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts:

.......0.......0........0........0.......0.....0...0.0.0

.......1.......1........1........1.......1.....1...1.1

......21......51.......93......147.....213...291.381

.....282....1434.....4182.....9762...19110.34602

....3070...30410...136990...467290.1240310

...29505..546465..3784335.18925485

..260967.8815317.94529631

.2175236

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

Some solutions for n=3, k=4:

..1..0..2....0..1..3....0..0..1....0..0..0....0..0..0....1..0..0....1..3..0

..0..1..3....0..1..0....0..1..0....3..1..0....0..1..0....0..1..1....0..0..0

..0..0..0....0..0..1....0..0..1....3..0..1....4..0..1....0..0..0....0..3..1

CROSSREFS

Row 3 is A224334.

Sequence in context: A209614 A167263 A324685 * A110454 A265156 A040445

Adjacent sequences:  A224111 A224112 A224113 * A224115 A224116 A224117

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 09 2013

STATUS

approved

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Last modified July 1 22:23 EDT 2022. Contains 354984 sequences. (Running on oeis4.)