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A166643 Totally multiplicative sequence with a(p) = 3*(p+1) for prime p. +0
1
1, 9, 12, 81, 18, 108, 24, 729, 144, 162, 36, 972, 42, 216, 216, 6561, 54, 1296, 60, 1458, 288, 324, 72, 8748, 324, 378, 1728, 1944, 90, 1944, 96, 59049, 432, 486, 432, 11664, 114, 540, 504, 13122, 126, 2592, 132, 2916, 2592, 648, 144, 78732, 576, 2916 (list; graph; listen)
OFFSET

1,2

FORMULA

Multiplicative with a(p^e) = (3*(p+1))^e. If n = Product p(k)^e(k) then a(n) = Product (3*(p(k)+1)^e(k). a(n) = A165824(n) * A003959(n) = 3^bigomega(n) * A003959(n) = 3^A001222(n) * A003959(n).

CROSSREFS

Sequence in context: A072308 A045769 A140145 this_sequence A038302 A050236 A070607

Adjacent sequences: A166640 A166641 A166642 this_sequence A166644 A166645 A166646

KEYWORD

nonn

AUTHOR

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

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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