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Search: id:A080512
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| 1, 3, 3, 6, 5, 9, 7, 12, 9, 15, 11, 18, 13, 21, 15, 24, 17, 27, 19, 30, 21, 33, 23, 36, 25, 39, 27, 42, 29, 45, 31, 48, 33, 51, 35, 54, 37, 57, 39, 60, 41, 63, 43, 66, 45, 69, 47, 72, 49, 75, 51, 78, 53, 81, 55, 84, 57, 87, 59, 90, 61, 93, 63, 96, 65, 99, 67, 102, 69, 105, 71
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Multiplicative with a(2^e) = 3*2^(e-1), a(p^e) = p^e otherwise. Christian G. Bower (bowerc(AT)usa.net) May 17, 2005.
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FORMULA
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a(n) = n if n is odd, a(n) = 3n/2 if n is even.
G.f.: (1+3x+x^2)/((1-x^2)^2); a(n)=n(5+(-1)^n)/4. - Paul Barry (pbarry(AT)wit.ie), Sep 04 2003
a(n)a(n+3) = -3 + a(n+1)a(n+2).
Equals A126988 * (1, 1, 0, 0, 0,...) - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 17 2007
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CROSSREFS
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Cf. A080511, A008619.
Cf. A126988.
Sequence in context: A132119 A023822 A071047 this_sequence A102245 A038167 A131077
Adjacent sequences: A080509 A080510 A080511 this_sequence A080513 A080514 A080515
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KEYWORD
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nonn,mult
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 20 2003
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