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A167337
Totally multiplicative sequence with a(p) = 2*(5p+1) = 10p+2 for prime p.
1
1, 22, 32, 484, 52, 704, 72, 10648, 1024, 1144, 112, 15488, 132, 1584, 1664, 234256, 172, 22528, 192, 25168, 2304, 2464, 232, 340736, 2704, 2904, 32768, 34848, 292, 36608, 312, 5153632, 3584, 3784, 3744, 495616, 372, 4224, 4224, 553696, 412, 50688
OFFSET
1,2
LINKS
FORMULA
Multiplicative with a(p^e) = (2*(5p+1))^e. If n = Product p(k)^e(k) then a(n) = Product (2*(5*p(k)+1))^e(k).
a(n) = A061142(n) * A166663(n) = 2^bigomega(n) * A166663(n) = 2^A001222(n) * A166663(n).
MATHEMATICA
a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((5*fi[[All, 1]] + 1)^fi[[All, 2]])); Table[a[n]*2^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 06 2016 *)
f[p_, e_] := (10*p+2)^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* Amiram Eldar, Oct 19 2023 *)
CROSSREFS
KEYWORD
nonn,easy,mult
AUTHOR
Jaroslav Krizek, Nov 01 2009
STATUS
approved