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A167326 Totally multiplicative sequence with a(p) = 7*(p+3) for prime p. 1
1, 35, 42, 1225, 56, 1470, 70, 42875, 1764, 1960, 98, 51450, 112, 2450, 2352, 1500625, 140, 61740, 154, 68600, 2940, 3430, 182, 1800750, 3136, 3920, 74088, 85750, 224, 82320, 238, 52521875, 4116, 4900, 3920, 2160900, 280, 5390, 4704, 2401000, 308 (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+3))^e. If n = Product p(k)^e(k) then a(n) = Product (7*(p(k)+3))^e(k). a(n) = A165828(n) * A166591(n) = 7^bigomega(n) * A166591(n) = 7^A001222(n) * A166591(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 3)^fi[[All, 2]])); Table[a[n]*7^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 09 2016 *)

CROSSREFS

Sequence in context: A141741 A122755 A298156 * A141638 A033857 A110264

Adjacent sequences:  A167323 A167324 A167325 * A167327 A167328 A167329

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified October 6 04:36 EDT 2022. Contains 357261 sequences. (Running on oeis4.)