The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A292152 Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square grid such that the picked positions don't have any symmetry. 9
 0, 0, 0, 0, 0, 40, 0, 0, 368, 1432, 0, 0, 1704, 10992, 50992, 0, 0, 5704, 53784, 369776, 1925464, 0, 0, 15400, 198696, 1885128, 13903624, 85773968, 0, 0, 36096, 606264, 7572896, 74743584, 620821688, 4424756040 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 REFERENCES Walter Krämer, Denkste! Trugschlüsse aus der Welt der Zahlen und des Zufalls. Campus Verlag, Frankfurt/Main, 1996. Chapter 4, pp. 71-82. LINKS FORMULA a(n) = A090642(n) - A292153(n). EXAMPLE The triangle begins:   0;   0,  0;   0,  0,    40;   0,  0,   368,   1432;   0,  0,  1704,  10992,  50992;   0,  0,  5704,  53784,  369776,  1925464;   0,  0, 15400, 198696, 1885128, 13903624, 85773968; . The following configuration of 6 picked points from a 7X7 grid is one of the T(7,6)=a(28)=13903624 configurations without symmetry. It is of some historical interest, because when it was drawn in Germany's "Lotto 6 aus 49", there was only one person with a winning bet receiving a payout of 22 million DM (Deutsche Mark). .   o o o o o o o   o o o o o o o   o o o o X o o   o o X o o o o   o o o o o o X   X X X o o o o   o o o o o o o CROSSREFS Cf. A090642, A098485, A098487, A291716, A291717, A291718, A292153, A292154, A292155, A292156. Sequence in context: A173364 A023931 A067159 * A331907 A247404 A013373 Adjacent sequences:  A292149 A292150 A292151 * A292153 A292154 A292155 KEYWORD nonn,tabl,more AUTHOR Hugo Pfoertner, Sep 17 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 13 18:45 EDT 2021. Contains 345008 sequences. (Running on oeis4.)