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A167309 Totally multiplicative sequence with a(p) = 8*(p+2) for prime p. 1
1, 32, 40, 1024, 56, 1280, 72, 32768, 1600, 1792, 104, 40960, 120, 2304, 2240, 1048576, 152, 51200, 168, 57344, 2880, 3328, 200, 1310720, 3136, 3840, 64000, 73728, 248, 71680, 264, 33554432, 4160, 4864, 4032, 1638400, 312, 5376, 4800 (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+2))^e. If n = Product p(k)^e(k) then a(n) = Product (8*(p(k)+2))^e(k). a(n) = A165829(n) * A166590(n) = 8^bigomega(n) * A166590(n) = 8^A001222(n) * A166590(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n]*8^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 07 2016 *)

CROSSREFS

Sequence in context: A217060 A326112 A240246 * A159007 A114042 A302168

Adjacent sequences:  A167306 A167307 A167308 * A167310 A167311 A167312

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified January 20 04:53 EST 2021. Contains 340301 sequences. (Running on oeis4.)