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A167308 Totally multiplicative sequence with a(p) = 7*(p+2) for prime p. 1
1, 28, 35, 784, 49, 980, 63, 21952, 1225, 1372, 91, 27440, 105, 1764, 1715, 614656, 133, 34300, 147, 38416, 2205, 2548, 175, 768320, 2401, 2940, 42875, 49392, 217, 48020, 231, 17210368, 3185, 3724, 3087, 960400, 273, 4116, 3675, 1075648, 301 (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) = (7*(p+2))^e. If n = Product p(k)^e(k) then a(n) = Product (7*(p(k)+2))^e(k). a(n) = A165828(n) * A166590(n) = 7^bigomega(n) * A166590(n) = 7^A001222(n) * A166590(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n]*7^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 07 2016 *)

CROSSREFS

Sequence in context: A039347 A043170 A043950 * A303261 A168106 A061900

Adjacent sequences:  A167305 A167306 A167307 * A167309 A167310 A167311

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified January 16 06:32 EST 2021. Contains 340195 sequences. (Running on oeis4.)