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Search: id:A092811
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| A092811 |
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Expansion of (1-4x)/(1-8x). |
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+0
1
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| 1, 4, 32, 256, 2048, 16384, 131072, 1048576, 8388608, 67108864, 536870912, 4294967296, 34359738368, 274877906944, 2199023255552, 17592186044416, 140737488355328, 1125899906842624, 9007199254740992, 72057594037927936
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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4th binomial transform of (1,0,16,0,256,...).
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FORMULA
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a(n)=8^n/2+0^n/2; a(n)=A001045(3n+1)-A001045(3n-1)+0^n/2.
a(n)=A013731(n-1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 08 2008]
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MATHEMATICA
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Table[EulerPhi[8^n], {n, 0, 40}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 10 2009]
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PROGRAM
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(Other) sage: [lucas_number2(3*n, 2, 0)/2 for n in xrange(0, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 27 2009]
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CROSSREFS
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Sequence in context: A007278 A108449 A013731 this_sequence A009509 A036725 A065089
Adjacent sequences: A092808 A092809 A092810 this_sequence A092812 A092813 A092814
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 10 2004
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