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A268854 a(n) is the smallest magic sum of any 3 X 3 magic square which contains exactly n triangular numbers. 4
39, 24, 21, 15, 18, 24, 189, 67734 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..7.

Andrew Bremner, On squares of squares II, Acta Arithmetica 99 (2001), pp. 289-308.

Multimagic Squares, An unsolved problem

The Prime Puzzles and Problems Connection, Problem 63

The Prime Puzzles and Problems Connection, Puzzle 79

Arkadiusz Wesolowski, Examples of these magic squares

Wikipedia, Magic square

Index entries for sequences related to magic squares

CROSSREFS

Cf. A221669, A268855, A268856, A269231, A271020.

Sequence in context: A196089 A033359 A326791 * A317388 A088344 A268856

Adjacent sequences:  A268851 A268852 A268853 * A268855 A268856 A268857

KEYWORD

nonn,fini,hard,more

AUTHOR

Arkadiusz Wesolowski, Feb 14 2016

STATUS

approved

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Last modified January 21 12:13 EST 2022. Contains 350477 sequences. (Running on oeis4.)