A096472 Numbers containing squares of Pythagorean triples in their divisor set.

3600, 7200, 10800, 14400, 18000, 21600, 25200, 28800, 32400, 36000, 39600, 43200, 46800, 50400, 54000, 57600, 61200, 64800, 68400, 72000, 75600, 79200, 82800, 86400, 90000, 93600, 97200, 100800, 104400, 108000, 111600, 115200, 118800

Offset

1,1

Comments

a(n) = m * (A046083(k)*A046084(k)*A009000(k))^2 for appropriate, not necessarily unique m and k.

Links

Table of n, a(n) for n=1..33.

Tanya Khovanova, Recursive Sequences

Eric Weisstein's World of Mathematics, Pythagorean Triple

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = n*60^2.

Example

5^2+12^2=13^2: 5^2, 12^2 and 13^2 are divisors of 608400=(13*5*3*2^2)^2, therefore 608400 is a term.

Crossrefs

Cf. Pythagorean triples: A046083, A046084, A009000.

Cf. A094519.

Sequence in context: A348521 A175752 A179746 * A306492 A364990 A250439

Adjacent sequences: A096469 A096470 A096471 * A096473 A096474 A096475

Keyword

nonn

Author

Reinhard Zumkeller, Aug 13 2004

Extensions

Name clarified by Tanya Khovanova, Jul 05 2021

Status

approved