A117412 Sum of the interior angles of an n-sided polygon, in gradians.

200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800, 5000, 5200, 5400, 5600, 5800, 6000, 6200, 6400, 6600, 6800, 7000, 7200, 7400, 7600, 7800, 8000, 8200, 8400, 8600

Offset

3,1

Links

G. C. Greubel, Table of n, a(n) for n = 3..5000

Tanya Khovanova, Recursive Sequences

Eric Weisstein's World of Mathematics, Gradian.

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

Formula

a(n) = 200*(n-2) for n >= 3.

From G. C. Greubel, Sep 07 2022: (Start)

a(n) = 40*A008587(n-2).

G.f.: 200*x^3/(1-x)^2.

E.g.f.: 200*(2 + x - (2 - x)*exp(x)). (End)

Mathematica

200*(Range[3, 50] -2) (* G. C. Greubel, Sep 07 2022 *)

Prog

(Magma) [200*(n-2): n in [3..50]]; // G. C. Greubel, Sep 07 2022
(SageMath) [200*(n-2) for n in (3..50)] # G. C. Greubel, Sep 07 2022

Crossrefs

Cf. A008587.

Sequence in context: A166256 A252059 A004966 * A109632 A258921 A258918

Adjacent sequences: A117409 A117410 A117411 * A117413 A117414 A117415

Keyword

easy,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 25 2006

Status

approved