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A166644 Totally multiplicative sequence with a(p) = 4*(p+1) for prime p. +0
1
1, 12, 16, 144, 24, 192, 32, 1728, 256, 288, 48, 2304, 56, 384, 384, 20736, 72, 3072, 80, 3456, 512, 576, 96, 27648, 576, 672, 4096, 4608, 120, 4608, 128, 248832, 768, 864, 768, 36864, 152, 960, 896, 41472, 168, 6144, 176, 6912, 6144, 1152, 192, 331776 (list; graph; listen)
OFFSET

1,2

FORMULA

Multiplicative with a(p^e) = (4*(p+1))^e. If n = Product p(k)^e(k) then a(n) = Product (4*(p(k)+1)^e(k). a(n) = A165825(n) * A003959(n) = 4^bigomega(n) * A003959(n) = 4^A001222(n) * A003959(n).

CROSSREFS

Sequence in context: A050585 A050555 A060669 this_sequence A087657 A059390 A064825

Adjacent sequences: A166641 A166642 A166643 this_sequence A166645 A166646 A166647

KEYWORD

nonn

AUTHOR

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

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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