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A198384 First of a triple of squares in arithmetic progression. 15
1, 4, 49, 9, 49, 16, 289, 196, 25, 1, 36, 196, 529, 49, 961, 441, 64, 1156, 81, 784, 441, 100, 2401, 289, 121, 2209, 4, 144, 1225, 529, 169, 784, 2601, 2116, 5041, 196, 3844, 1764, 49, 225, 256, 1681, 1225, 289, 1681, 2401, 6241, 9, 4624, 324, 9409, 361 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Reinhard Zumkeller, Table of initial values
FORMULA
a(n) = A198388(n)^2.
A198385(n) - a(n) = A198386(n) - A198385(n) = A198387(n).
A198435(n) = a(A198409(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]];
Flatten[DeleteCases[triples /@ Range[wmax], {}], 2][[All, 1]] (* Jean-François Alcover, Oct 19 2021 *)
PROG
(Haskell)
a198384 n = a198384_list !! (n-1)
a198384_list = map (^ 2) a198388_list
CROSSREFS
Sequence in context: A189347 A248558 A372052 * A136196 A222960 A061100
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Oct 24 2011
EXTENSIONS
Thanks to Benoit Jubin, who had the idea for sequences A198384 .. A198390 and A198435 .. A198441.
STATUS
approved

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Last modified July 20 12:05 EDT 2024. Contains 374445 sequences. (Running on oeis4.)