|
Search: id:A096384
|
|
|
| A096384 |
|
Floor of the area of prime sided triangles of order 2. |
|
+0
1
|
|
| 88, 95, 192, 272, 353, 528, 626, 788, 958, 1115, 1353, 1573, 1862, 2071, 2333, 2675, 2946, 3373, 3, 765, 4173, 4562, 4926, 5383, 5782, 6524, 6909, 8099, 8437, 9355, 9747, 10692, 11306, 12066, 127, 89, 13748, 14306, 15396, 15725, 17169, 17966, 19202
(list; graph; listen)
|
|
|
OFFSET
|
5,1
|
|
|
COMMENT
|
When u = 1 except for the leading zeros, we get A007531. Since sides a,b of pythagorean triple triangles are of opposite parity, the area will always be an integer. The area of a prime sided triangle is always an irrational number.
|
|
FORMULA
|
Prime sided triangles of order 1 are triangles of sides prime(n), prime(n+1) and prime(n+2). Order 2 are triangles of sides prime(n), prime(n+2), prime(n+4). Order 3 are sides of prime(n), prime(n+3), prime(n+6). order k are sides of prime(n), prime(n+k), prime(n+2k).
|
|
PROGRAM
|
(PARI) areagen(n, u) = for(v=u+1, n, print1(u*v*(v^2-u^2)", "))
|
|
CROSSREFS
|
Cf. A007531.
Sequence in context: A109989 A147317 A143846 this_sequence A068356 A114166 A161194
Adjacent sequences: A096381 A096382 A096383 this_sequence A096385 A096386 A096387
|
|
KEYWORD
|
nonn,uned
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Aug 05 2004
|
|
|
Search completed in 0.002 seconds
|
