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!)
A241233 Number of right triangles, distinct up to congruence, on a centered hexagonal grid of size n. 3

%I #15 Oct 17 2022 15:33:26

%S 0,1,5,13,25,42,62,86,115,150,191,234,282,334,395,455,526,601,677,762,

%T 855,947,1045,1152,1261,1378,1498,1619,1757,1900,2041,2176,2334,2507,

%U 2661,2838,3011,3174,3379,3577,3773,3967,4179,4389,4618,4848,5090,5311,5559,5792,6068

%N Number of right triangles, distinct up to congruence, on a centered hexagonal grid of size n.

%C A centered hexagonal grid of size n is a grid with A003215(n-1) points forming a hexagonal lattice.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HexNumber.html">Hex Number</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RightTriangle.html">Right Triangle</a>.

%F a(n) = A241231(n) - A241232(n) - A241234(n).

%e For n = 2 the only kind of non-congruent right triangles is the following:

%e /. *

%e * . *

%e \. .

%Y Cf. A189979, A241225.

%K nonn

%O 1,3

%A _Martin Renner_, Apr 17 2014

%E a(7) from _Martin Renner_, May 31 2014

%E a(8)-a(21) from _Giovanni Resta_, May 31 2014

%E More terms from _Bert Dobbelaere_, Oct 17 2022

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 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)