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A166640 Totally multiplicative sequence with a(p) = 9*(p-1) for prime p. +0
1
1, 9, 18, 81, 36, 162, 54, 729, 324, 324, 90, 1458, 108, 486, 648, 6561, 144, 2916, 162, 2916, 972, 810, 198, 13122, 1296, 972, 5832, 4374, 252, 5832, 270, 59049, 1620, 1296, 1944, 26244, 324, 1458, 1944, 26244, 360, 8748, 378, 7290, 11664, 1782, 414, 118098 (list; graph; listen)
OFFSET

1,2

FORMULA

Multiplicative with a(p^e) = (9*(p-1))^e. If n = Product p(k)^e(k) then a(n) = Product (9*(p(k)-1)^e(k). a(n) = A165830(n) * A003958(n) = 9^bigomega(n) * A003958(n) = 9^A001222(n) * A003958(n).

CROSSREFS

Sequence in context: A086500 A022669 A107313 this_sequence A140149 A066711 A033651

Adjacent sequences: A166637 A166638 A166639 this_sequence A166641 A166642 A166643

KEYWORD

nonn

AUTHOR

Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 18 2009

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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