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A215897 a(n) = A215723(n) / 2^(n-1). 2

%I #38 Jan 26 2019 11:09:24

%S 1,0,1,2,3,4,8,18,27,44,267,1024,3645,6144,23859,50176,187377,531468,

%T 3302697,10616832,39337984,102546588,568833245,3073593600,8721488875,

%U 32998447572,164855413835,572108938470,2490252810073,10831449635712,68045615234375,282773291271138,1592413932070703,5234078743146888

%N a(n) = A215723(n) / 2^(n-1).

%C A215723(n) is divisible by 2^(n-1), indeed the determinant of any n X n sign matrix is divisible by 2^(n-1). Proof: subtract the first row from other rows, the result is all rows except for the first are divisible by 2, hence by using expansion by minors proof follows. (Warren D. Smith on the math-fun mailing list, Aug 18 2012)

%H Richard P. Brent, <a href="/A215897/b215897.txt">Table of n, a(n) for n = 1..52</a>

%H Richard P. Brent and Adam B. Yedidia, <a href="http://arxiv.org/abs/1801.00399">Computation of maximal determinants of binary circulant matrices</a>, arXiv:1801.00399 [math.CO], 2018.

%H R. P. Brent and A. Yedidia, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL21/Brent/brent11.html">Computation of maximal determinants of binary circulant matrices</a>, Journal of Integer Sequences, 21 (2018), article 18.5.6.

%H <a href="/index/De#determinants">Index entries for sequences related to maximal determinants</a>

%F a(n) = A215723(n) / 2^(n-1).

%Y Cf. A215723 (Maximum determinant of an n X n circulant (1,-1)-matrix).

%K nonn,hard

%O 1,4

%A _Joerg Arndt_, Aug 26 2012

%E a(23)-a(28) (as calculated by Warren Smith) from _W. Edwin Clark_, Sep 02 2012

%E a(29) onward from _Richard P. Brent_, Jan 02 2018

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)