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A167321 Totally multiplicative sequence with a(p) = 2*(p+3) for prime p. 1
1, 10, 12, 100, 16, 120, 20, 1000, 144, 160, 28, 1200, 32, 200, 192, 10000, 40, 1440, 44, 1600, 240, 280, 52, 12000, 256, 320, 1728, 2000, 64, 1920, 68, 100000, 336, 400, 320, 14400, 80, 440, 384, 16000, 88, 2400, 92, 2800, 2304, 520, 100, 120000, 400, 2560 (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) = (2*(p+3))^e. If n = Product p(k)^e(k) then a(n) = Product (2*(p(k)+3))^e(k). a(n) = A061142(n) * A166591(n) = 2^bigomega(n) * A166591(n) = 2^A001222(n) * A166591(n).

MATHEMATICA

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

CROSSREFS

Sequence in context: A223150 A241252 A301905 * A258484 A116118 A038314

Adjacent sequences:  A167318 A167319 A167320 * A167322 A167323 A167324

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified February 27 03:30 EST 2020. Contains 332299 sequences. (Running on oeis4.)