A080849 - OEIS

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A080849

(mu(n)+2)*n^2, where mu is the Moebius function (A008683).

3

3, 4, 9, 32, 25, 108, 49, 128, 162, 300, 121, 288, 169, 588, 675, 512, 289, 648, 361, 800, 1323, 1452, 529, 1152, 1250, 2028, 1458, 1568, 841, 900, 961, 2048, 3267, 3468, 3675, 2592, 1369, 4332, 4563, 3200, 1681, 1764, 1849, 3872, 4050, 6348, 2209, 4608, 4802

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OFFSET

1,1

COMMENTS

n^2 <= a(n) <= 3*n^2.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..5000

FORMULA

a(n) = n * A080848(n) = A000290(n) * A080847(n). - Antti Karttunen, Jul 26 2017

MATHEMATICA

Table[(MoebiusMu[n]+2)n^2, {n, 50}] (* Harvey P. Dale, Sep 02 2024 *)

PROG

(Scheme) (define (A080849 n) (* n n (+ 2 (A008683 n)))) ;; Antti Karttunen, Jul 26 2017

CROSSREFS

Cf. A000290, A008683, A080847, A080848.

Sequence in context: A105229 A237583 A362353 * A058857 A084715 A225467

Adjacent sequences: A080846 A080847 A080848 * A080850 A080851 A080852

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Feb 20 2003

STATUS

approved