|
Search: id:A057721
|
|
| |
|
| 1, 5, 29, 109, 305, 701, 1405, 2549, 4289, 6805, 10301, 15005, 21169, 29069, 39005, 51301, 66305, 84389, 105949, 131405, 161201, 195805, 235709, 281429, 333505, 392501, 459005, 533629, 617009, 709805, 812701, 926405, 1051649
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Longest possible side c of a triangle with integer sides a<=b<c and inradius n. Triangle has sides (n^2+2,n^4+2n^2+1,n^4+3n^2+1). Proved by Joseph S. Myers (jsm(AT)polyomino.org.uk), Jun 11 2006.
|
|
MAPLE
|
with(combinat, fibonacci):seq(fibonacci(5, i), i=0..32); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 01 2006
|
|
MATHEMATICA
|
Table[Fibonacci[5, i], {i, 0, 40}]; ..and/or..f[n_]:=n^4+3n^2+1; Array[f, 40, 0] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]
|
|
PROGRAM
|
(Other) sage: [lucas_number1(5, n, -1) for n in xrange(0, 33)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009]
|
|
CROSSREFS
|
See A120062 for sequences related to integer-sided triangles with integer inradius n.
Cf. A120062 [triangles with integer inradius], A120063 [minimum of their longest sides].
Sequence in context: A097344 A153076 A034700 this_sequence A085151 A119494 A153077
Adjacent sequences: A057718 A057719 A057720 this_sequence A057722 A057723 A057724
|
|
KEYWORD
|
nonn,new
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Oct 27 2000
|
|
|
Search completed in 0.002 seconds
|
