The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A198437 Third term of a triple of squares in arithmetic progression, which is not a multiple of another triple in (A198384,A198385,A198386). 8
 49, 289, 529, 961, 1681, 2209, 2401, 5041, 5329, 6241, 7921, 9409, 10609, 12769, 14161, 14161, 16129, 18769, 22801, 25921, 25921, 27889, 36481, 37249, 39601, 47089, 47089, 49729, 54289, 57121, 58081, 66049, 69169, 73441, 78961, 82369, 82369, 83521, 96721 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 Keith Conrad, Arithmetic progressions of three squares Reinhard Zumkeller, Table of initial values FORMULA a(n) = A198441(n)^2 = A198386(A198409(n)); a(n) - A198436(n) = A198436(n) - A198435(n) = A198438(n). MATHEMATICA wmax = 1000; triples[w_] := Reap[Module[{u, v}, For[u = 1, u < w, u++, If[IntegerQ[v = Sqrt[(u^2 + w^2)/2]], Sow[{u^2, v^2, w^2}]]]]][]; tt = Flatten[DeleteCases[triples /@ Range[wmax], {}], 2]; DeleteCases[tt, t_List /; GCD @@ t>1 && MemberQ[tt, t/GCD @@ t]][[All, 3]] (* Jean-François Alcover, Oct 20 2021 *) PROG (Haskell) a198437 n = a198437_list !! (n-1) a198437_list = map a198386 a198409_list CROSSREFS Cf. A198435, A198436, A198438, A198409, A198441. Sequence in context: A219030 A167719 A239211 * A144407 A089552 A017354 Adjacent sequences:  A198434 A198435 A198436 * A198438 A198439 A198440 KEYWORD nonn AUTHOR Reinhard Zumkeller, Oct 25 2011 STATUS approved

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.

Last modified June 30 12:47 EDT 2022. Contains 354939 sequences. (Running on oeis4.)