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A113453 Triangle giving maximal permanent P(n,k) of an n X n lower Hessenberg (0,1)-matrix with exactly k 1's for 2<= n<=k<=2n, read by rows. +0
3
1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 4, 4, 1, 1, 2, 2, 4, 4, 8, 1, 1, 2, 2, 4, 4, 8, 8, 1, 1, 2, 2, 4, 4, 8, 8, 16, 1, 1, 2, 2, 4, 4, 8, 8, 16, 16, 1, 1, 2, 2, 4, 4, 8, 8, 16, 16, 32, 1, 1, 2, 2, 4, 4, 8, 8, 16, 16, 32, 32, 1, 1, 2, 2, 4, 4, 8, 8, 16, 16, 32, 32, 64 (list; graph; listen)
OFFSET

0,3

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)=2^(floor( (k-n)/2)), if n<=k<= 2n.

CROSSREFS

Cf. A034856, A113452-A113455.

Sequence in context: A163994 A156593 A054526 this_sequence A003983 A087062 A110537

Adjacent sequences: A113450 A113451 A113452 this_sequence A113454 A113455 A113456

KEYWORD

easy,nonn,tabf

AUTHOR

Bryan Shader (bshader(AT)uwyo.edu), Jan 07 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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