A328886 Squares that end in 444.

1444, 213444, 289444, 925444, 1077444, 2137444, 2365444, 3849444, 4153444, 6061444, 6441444, 8773444, 9229444, 11985444, 12517444, 15697444, 16305444, 19909444, 20593444, 24621444, 25381444, 29833444, 30669444, 35545444, 36457444, 41757444, 42745444, 48469444

Offset: 1

Author

Felix Fröhlich, Oct 29 2019

Keywords

• nonn
• base
• easy

Comments

See A039685 for further information about these numbers.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..400
• Albert H. Beiler, Recreations in the Theory of Numbers (2d ed. 1966), p.139.
• Index entries for linear recurrences with constant coefficients, signature (1,2,-2,-1,1).

Crossrefs

Cf. A039685.

Programs

Mathematica

Select[Table[n*10^3+444,{n,50000}],IntegerQ[Sqrt[#]]&] (* Harvey P. Dale, Jun 19 2020 *)
Flatten[Table[500n+{38,-38},{n,0,20}]]^2//Union (* Harvey P. Dale, Jan 26 2025 *)

PARI

a039685(n) = 250*n+87*(-1)^n-125
a(n) = a039685(n)^2

Formula

a(n) = A039685(n)^2.