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Search: id:A013730
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| 2, 16, 128, 1024, 8192, 65536, 524288, 4194304, 33554432, 268435456, 2147483648, 17179869184, 137438953472, 1099511627776, 8796093022208, 70368744177664, 562949953421312, 4503599627370496, 36028797018963968
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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1/2 + 1/16 + 1/128 + 1/1024 + ... = 4/7 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 29 2008]
a(n) = A157176(A016921(n)) = A157176(A016933(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 24 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=8*a(n-1), n>0 ; a(0)=2 . G.f.: 2/(1-8x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
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PROGRAM
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(Other) sage: [lucas_number1(3*n, 2, 0)/2 for n in xrange(1, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 27 2009]
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CROSSREFS
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Sequence in context: A027309 A069868 A022027 this_sequence A161737 A012459 A012463
Adjacent sequences: A013727 A013728 A013729 this_sequence A013731 A013732 A013733
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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