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Search: id:A098704
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| A098704 |
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Decimal form of the binary numbers 10, 100010, 1000100010, 10001000100010, 100010001000100010,... |
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+0
3
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| 2, 34, 546, 8738, 139810, 2236962, 35791394, 572662306, 9162596898, 146601550370, 2345624805922, 37529996894754, 600479950316066, 9607679205057058, 153722867280912930, 2459565876494606882
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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Decimal form of the hexadecimal numbers 2 22 222 2222 22222 222222,...infinity 2*16^0+2*16^1=2+32=34 etc... - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 01 2007
For n>0: A131852(a(n+1))=n and ABS(A131852(m))<n for m<a(n+1); a(n)=2*A131865(n-2). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 22 2007
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FORMULA
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lim_{n -> infinity}((a_{n})/(a_{n-k}))=2^{4(n-k)}.
2*sum(k=0, n, 16^k) = 2*(1-16^(n+1))/-15).
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MATHEMATICA
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s=0; lst={}; Do[s+=2^n; AppendTo[lst, s], {n, 1, 2*5!, 4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 07 2008]
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PROGRAM
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(PARI) for(n=0, 20, print(2*sum(k=0, n, 2^(4*k))) for(k=0, 20, print(2*(1-16^(k+1))/-15))
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CROSSREFS
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Sequence in context: A005261 A104898 A071799 this_sequence A119298 A045585 A092883
Adjacent sequences: A098701 A098702 A098703 this_sequence A098705 A098706 A098707
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KEYWORD
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nonn
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AUTHOR
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Simone Severini (ss54(AT)york.ac.uk), Oct 26 2004
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 02 2004
More terms and Mathematica program Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 07 2008
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