A126652 - OEIS

%I #15 Jan 27 2019 09:05:01

%S 40,5,30,15,25,35,20,45,10

%N A 3 X 3 magic square with magic sum 75: the Loh-Shu square A033812 multiplied by 5.

%C The magic sum is 75. See Figure C.6 in Appendix C in Maya Ahmed's PhD thesis.

%H Maya Mohsin Ahmed, <a href="https://arxiv.org/abs/math/0405476">Algebraic Combinatorics of Magic Squares</a>, arXiv:math/0405476 [math.CO], 2004. PhD thesis.

%H Maya Mohsin Ahmed, <a href="https://www.jstor.org/stable/4145267">How many squares are there, Mr. Franklin?: Constructing and Enumerating Franklin Squares</a>, Amer. Math. Monthly, Vol. 111, 2004, pp. 394-410.

%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>

%F a(n) = 5*A033812(n). - _M. F. Hasler_, Jan 26 2019

%e The magic square is:

%e   40  5 30

%e   15 25 35

%e   20 45 10

%Y Cf. A126653 = 3*A033812.

%K fini,full,nonn,tabf

%O 1,1

%A _Parthasarathy Nambi_, Feb 08 2007

%E Edited by _M. F. Hasler_, Jan 26 2019