login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159944 Number of different deltoids (including squares) whose vertices are on an n X n grid. 1

%I #11 Dec 12 2015 01:13:34

%S 0,1,4,11,26,46,84,123,194,268,378,478,657,800,1019,1239,1548,1793,

%T 2197,2505,3003,3434,3991,4444,5223,5801,6582,7292,8274,9006,10199,

%U 11034,12330,13398,14744,15912,17705,18906,20586

%N Number of different deltoids (including squares) whose vertices are on an n X n grid.

%C Only convex kites (A189417) are counted, not concave kites (A173502), distinct up to congruence.

%H Nathaniel Johnston, <a href="/A159944/a159944.c.txt">C program for computing terms</a>

%e a(1) = 0, since there is only one point on a 1 X 1 grid.

%e a(2) = 1, since the four points on a 2 X 2 grid build a 1 X 1 square.

%e a(3) = 4 since there are 3 sizes of squares on a 3 X 3 grid -- 1 X 1, 2 X 2, sqrt(2) X sqrt(2) -- and a single nonsquare deltoid.

%Y Cf. A189417, A173502.

%K nonn

%O 1,3

%A Demacek Ondrej (demacek(AT)gjh.sk), Apr 27 2009

%E Edited by _Ray Chandler_, May 01 2011

%E Corrected and extended by _Nathaniel Johnston_ with help from _Ray Chandler_, May 11 2011

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)