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A062724
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[tau^n] + 1, where tau = (1+sqrt(5))/2.
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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
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OFFSET
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0,1
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COMMENTS
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Apart from the first term, this sequence also gives the ceiling of the powers of the golden ratio (cf. A169986). - Mohammad K. Azarian, Apr 14 2008
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,400
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FORMULA
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a(n)=3*Fibonacci(n-1)+Fibonacci(n-2)+(n mod 2), n>0 [From Gary Detlefs, Dec 29 2010]
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PROG
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(PARI) j=[]; for(n=0, 60, t=(1+sqrt(5))/2; j=concat(j, floor((t^n))+1)); j
(PARI) { default(realprecision, 200); t=(1 + sqrt(5))/2; p=1; for (n=0, 400, if (n, p*=t); write("b062724.txt", n, " ", p\1 + 1) ) } [From Harry J. Smith, Aug 09 2009]
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CROSSREFS
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Equals A014217 + 1. Cf. A169985, A169986.
Sequence in context: A118987 A218557 A060699 * A126024 A179316 A127678
Adjacent sequences: A062721 A062722 A062723 * 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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STATUS
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approved
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