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A167316 Totally multiplicative sequence with a(p) = 6*(p-3) for prime p. 1
1, -6, 0, 36, 12, 0, 24, -216, 0, -72, 48, 0, 60, -144, 0, 1296, 84, 0, 96, 432, 0, -288, 120, 0, 144, -360, 0, 864, 156, 0, 168, -7776, 0, -504, 288, 0, 204, -576, 0, -2592, 228, 0, 240, 1728, 0, -720, 264, 0, 576, -864 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

FORMULA

Multiplicative with a(p^e) = (6*(p-3))^e. If n = Product p(k)^e(k) then a(n) = Product (6*(p(k)-3))^e(k). a(3k) = 0 for k >= 1. a(n) = A165827(n) * A166589(n) = 6^bigomega(n) * A166589(n) = 6^A001222(n) * A166589(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] - 3)^fi[[All, 2]])); Table[a[n]*6^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 09 2016 *)

CROSSREFS

Sequence in context: A209446 A047762 A186977 * A270607 A051768 A262888

Adjacent sequences:  A167313 A167314 A167315 * A167317 A167318 A167319

KEYWORD

sign,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified December 6 05:18 EST 2016. Contains 278773 sequences.