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Search: id:A062724
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| A062724 |
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[tau^n] + 1, where tau = (1+sqrt(5))/2. |
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+0
4
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| 2, 2, 3, 5, 7, 12, 18, 30, 47, 77, 123, 200, 322, 522, 843, 1365, 2207, 3572, 5778, 9350, 15127, 24477, 39603, 64080, 103682, 167762, 271443, 439205, 710647, 1149852, 1860498, 3010350, 4870847, 7881197, 12752043, 20633240, 33385282
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Apart from the first term, this sequence also gives the ceiling of the powers of the golden ratio. That is, a(n)=ceiling[((1+sqrt(5))/2)^n]. - Mohammad K. Azarian (azarian(AT)evansville.edu), Apr 14 2008
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PROGRAM
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(PARI) j=[]; for(n=0, 60, t=(1+sqrt(5))/2; j=concat(j, floor((t^n))+1)); j
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CROSSREFS
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Equals A014217 + 1.
Sequence in context: A147997 A118987 A060699 this_sequence A126024 A127678 A114990
Adjacent sequences: A062721 A062722 A062723 this_sequence A062725 A062726 A062727
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jul 15 2001
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