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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}]]]]][[2]];

tt = Flatten[DeleteCases[triples /@ Range[wmax], {}], 2];

DeleteCases[tt, t_List /; GCD @@ t>1 && MemberQ[tt, t/GCD @@ t]][[All, 3]] (* Jean-Fran├žois 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

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