|
Search: id:A113455
|
|
|
| A113455 |
|
Triangle giving maximal permanent P(n,k) of an n X n lower Hessenberg (0,1)-matrix with exactly k 1's for n>=3 and h(n) -h(floor(n/2)) <= k <= h(n) read by row, where h(n)= (n^2+3n-2)/2 is the sequence A034856. |
|
+0
5
|
|
| 3, 4, 4, 5, 6, 7, 8, 12, 13, 14, 15, 16, 20, 22, 24, 26, 28, 29, 30, 31, 32, 52, 54, 56, 58, 60, 61, 62, 63, 64, 96, 100, 104, 108, 112, 116, 118, 120, 122, 124, 125, 126, 127, 128, 224, 228, 232, 236, 240, 244, 246, 248, 250, 252, 253, 254, 255, 256, 432, 440, 448
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
D. D. Olesky, B. L. Shader and P. van den Driessche, Permanents of Hessenberg (0,1)-matrices, Electronic Journal of Combinatorics, 12 (2005) #R70.
|
|
LINKS
|
B. Shader Table of known values of P(n,k) for n<=12.
|
|
FORMULA
|
P(n, k)=s(1)+s(2) + ... + s(k) where s(k) is the sequence A113453.
|
|
CROSSREFS
|
Cf. A034856, A113452-A113454.
Sequence in context: A079107 A023963 A121500 this_sequence A054637 A120172 A113454
Adjacent sequences: A113452 A113453 A113454 this_sequence A113456 A113457 A113458
|
|
KEYWORD
|
easy,nonn,tabf
|
|
AUTHOR
|
Bryan Shader (bshader(AT)uwyo.edu), Jan 07 2006; corrected Jan 20 2006
|
|
|
Search completed in 0.002 seconds
|
