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plastic constant∗
PrimeFan†
2013-03-21 21:02:59
3
Given the equation
The only solution in real
r P q= P +r1, solveqfor P . √
√
√
√
3
3
12(9+ 69)+ 12(9− 69)
3 1
3 1
23
23
1
1
numbers is P =
+
+
−
=
≈
2
6
3
2
6
3
6
1.3247179572447, and P is the plastic constant, also known as the silver number.
(n)
Another way to calculate the plastic constant is PP(n−1)
, where P (n) is the
nth term of either the Padovan sequence or the Perrin sequence. For about
n > 20 the approximation is adequate for all practical purposes.
∗ hPlasticConstanti created: h2013-03-21i by: hPrimeFani version: h38264i Privacy
setting: h1i hDefinitioni h11B39i
† This text is available under the Creative Commons Attribution/Share-Alike License 3.0.
You can reuse this document or portions thereof only if you do so under terms that are
compatible with the CC-BY-SA license.
1
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