A348269 A 5 X 5 pandiagonal magic square read by rows: the entries have digits which are only 0's and 1's and form a magic square in any base b >= 2.

11, 1100, 110000, 11000000, 1100000000, 10010000, 1001000000, 100000001, 110, 101000, 100000100, 100010, 10001000, 1000010000, 1000001, 1000001000, 10001, 1000100, 100100000, 10000010, 1100000, 110000000, 1000000010, 1001, 10100

Offset

1,1

Comments

The magic square is:

[ 11, 1100, 110000, 11000000, 1100000000 ]

[ 10010000, 1001000000, 100000001, 110, 101000 ]

[ 100000100, 100010, 10001000, 1000010000, 1000001 ]

[ 1000001000, 10001, 1000100, 100100000, 10000010 ]

[ 1100000, 110000000, 1000000010, 1001, 10100 ]

The magic sum of any row, column or diagonal is 1111111111.

This has the form

A+B C+D E+F G+H I+J

E+H G+J A+I C+B D+F

C+I B+F D+H E+J G+A

D+J A+E G+C I+F B+H

G+F I+H B+J A+D C+E

with magic sum = A+B+C+D+E+F+G+H+I+J.

Links

Table of n, a(n) for n=1..25.

Index entries for sequences related to magic squares

Formula

(C#)

long[,] A348269()

{

long A = 1;

long B = 10;

long C = 100;

long D = 1000;

long E = 10000;

long F = 100000;

long G = 1000000;

long H = 10000000;

long I = 100000000;

long J = 1000000000;

return new long[,] {

{ A+B, C+D, E+F, G+H, I+J },

{ E+H, G+J, A+I, C+B, D+F },

{ C+I, B+F, D+H, E+J, G+A},

{ D+J, A+E, G+C, I+F, B+H },

{ G+F, I+H, B+J, A+D, C+E }

};

}

Crossrefs

Cf. A347911.

Sequence in context: A090814 A347846 A319424 * A153435 A266787 A109227

Adjacent sequences: A348266 A348267 A348268 * A348270 A348271 A348272

Keyword

nonn,fini,full

Author

Chittaranjan Pardeshi, Oct 09 2021

Status

approved