login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A167318 Totally multiplicative sequence with a(p) = 8*(p-3) for prime p. 1
1, -8, 0, 64, 16, 0, 32, -512, 0, -128, 64, 0, 80, -256, 0, 4096, 112, 0, 128, 1024, 0, -512, 160, 0, 256, -640, 0, 2048, 208, 0, 224, -32768, 0, -896, 512, 0, 272, -1024, 0, -8192, 304, 0, 320, 4096, 0, -1280, 352, 0, 1024, -2048 (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) = (8*(p-3))^e. If n = Product p(k)^e(k) then a(n) = Product (8*(p(k)-3))^e(k). a(3k) = 0 for k >= 1. a(n) = A165829(n) * A166589(n) = 8^bigomega(n) * A166589(n) = 8^A001222(n) * A166589(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] - 3)^fi[[All, 2]])); Table[a[n]*8^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 09 2016 *)

CROSSREFS

Sequence in context: A047771 A137528 A270006 * A186979 A067817 A079137

Adjacent sequences:  A167315 A167316 A167317 * A167319 A167320 A167321

KEYWORD

sign,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 3 01:12 EST 2016. Contains 278694 sequences.