cp's OEIS Frontend

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.

%I A113455 #11 Mar 17 2018 21:18:15
%S A113455 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,
%T A113455 60,61,62,63,64,96,100,104,108,112,116,118,120,122,124,125,126,127,
%U A113455 128,224,228,232,236,240,244,246,248,250,252,253,254,255,256,432,440,448
%N 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.
%H A113455 D. D. Olesky, B. L. Shader and P. van den Driessche, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v12i1r70/0">Permanents of Hessenberg (0,1)-matrices</a>, Electronic Journal of Combinatorics, 12 (2005) #R70.
%H A113455 B. Shader <a href="http://www.uwyo.edu/bshader/hesstable.pdf">Table of known values of P(n,k) for n<=12.</a>
%F A113455 P(n, k) = s(1) + s(2) + ... + s(k) where s(k) is the sequence A113453.
%Y A113455 Cf. A034856, A113452, A113453, A113454.
%K A113455 easy,nonn,tabf
%O A113455 0,1
%A A113455 Bryan Shader (bshader(AT)uwyo.edu), Jan 07 2006; corrected Jan 20 2006