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A167306 Totally multiplicative sequence with a(p) = 5*(p+2) for prime p. 1
1, 20, 25, 400, 35, 500, 45, 8000, 625, 700, 65, 10000, 75, 900, 875, 160000, 95, 12500, 105, 14000, 1125, 1300, 125, 200000, 1225, 1500, 15625, 18000, 155, 17500, 165, 3200000, 1625, 1900, 1575, 250000, 195, 2100, 1875, 280000, 215, 22500, 225, 26000 (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) = (5*(p+2))^e. If n = Product p(k)^e(k) then a(n) = Product (5*(p(k)+2))^e(k). a(n) = A165826(n) * A166590(n) = 5^bigomega(n) * A166590(n) = 5^A001222(n) * A166590(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n]*5^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 07 2016 *)

CROSSREFS

Sequence in context: A295152 A292199 A269308 * A061840 A252660 A265401

Adjacent sequences:  A167303 A167304 A167305 * A167307 A167308 A167309

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified February 27 05:37 EST 2021. Contains 341649 sequences. (Running on oeis4.)