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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A298079 The number of triangles (up to congruence) with integer coordinates and perimeter in [n, n+1). 3
1, 2, 2, 6, 7, 11, 15, 26, 24, 42, 41, 66, 60, 83, 99, 126, 127, 176, 179, 219, 217, 302, 283, 374, 366, 456, 446, 551, 573, 640, 667, 808, 805, 938, 936, 1123, 1078, 1286, 1276, 1464 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

LINKS

Peter Kagey, Table of n, a(n) for n = 3..149

Peter Kagey, Integer Triangles with perimeter less than n, Programming Puzzles & Code Golf Stack Exchange.

Peter Kagey, Haskell program for A298079.

EXAMPLE

For n = 3, all triangles with perimeter in [3, 4) are congruent to:

(0, 0), (0, 1), (1, 0) with perimeter 3.41....

For n = 4, all triangles with perimeter in [4, 5) are congruent to:

(0, 0), (0, 1), (1, 2) with perimeter 4.65..., or

(0, 0), (0, 2), (2, 0) with perimeter 4.82....

For n = 5, all triangles with perimeter in [5, 6) are congruent to:

(0, 0), (0, 2), (1, 2) with perimeter 5.23..., or

(0, 0), (1, 2), (2, 1) with perimeter 5.88....

CROSSREFS

Cf. A051518, A298121.

Sequence in context: A177852 A079811 A097869 * A295783 A060303 A099577

Adjacent sequences:  A298076 A298077 A298078 * A298080 A298081 A298082

KEYWORD

nonn,more

AUTHOR

Peter Kagey, Jan 11 2018

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 16 21:31 EST 2020. Contains 331975 sequences. (Running on oeis4.)