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A166658 Totally multiplicative sequence with a(p) = 9p-1 for prime p. 1
1, 17, 26, 289, 44, 442, 62, 4913, 676, 748, 98, 7514, 116, 1054, 1144, 83521, 152, 11492, 170, 12716, 1612, 1666, 206, 127738, 1936, 1972, 17576, 17918, 260, 19448, 278, 1419857, 2548, 2584, 2728, 195364, 332, 2890, 3016, 216172, 368, 27404, 386 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

Multiplicative with a(p^e) = (9p-1)^e. If n = Product p(k)^e(k) then a(n) = Product (9*p(k)-1)^e(k).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((9*fi[[All, 1]] - 1)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 21 2016 *)

CROSSREFS

Sequence in context: A336272 A154277 A140150 * A268330 A221282 A033702

Adjacent sequences:  A166655 A166656 A166657 * A166659 A166660 A166661

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Oct 18 2009

STATUS

approved

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Last modified June 18 01:16 EDT 2021. Contains 345098 sequences. (Running on oeis4.)