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Search: id:A063782
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| 3, 10, 32, 104, 336, 1088, 3520, 11392, 36864, 119296, 386048, 1249280, 4042752, 13082624, 42336256, 137003008, 443351040, 1434714112, 4642832384, 15024521216, 48620371968, 157338828800, 509159145472, 1647673606144
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Ratio of successive terms approaches sqrt(5) + 1.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
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2^(n-1)*Fibonacci(n+3). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 25 2003
(a)=((1+sqrt5)^n-(1-sqrt5)^n)/sqrt1280. Offset 3. a(5)=10. [From Al Hakanson (hawkuu(AT)gmail.com), Apr 11 2009]
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MAPLE
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a := proc(n) option remember: if n=0 then RETURN(1) fi: if n=1 then RETURN(2) fi: 2*a(n-1) + 4*a(n-2); end: for n from 1 to 50 do printf(`%d, `, a(n)+a(n-1)) od:
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PROGRAM
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(PARI) { for (n=0, 200, if (n>1, a=2*a1 + 4*a2; a2=a1; a1=a, if (n, a=a1=2, a=a2=1)); if (n, write("b063782.txt", n, " ", a + a2)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 31 2009]
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CROSSREFS
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Sequence in context: A134377 A077826 A033505 this_sequence A071718 A134952 A149028
Adjacent sequences: A063779 A063780 A063781 this_sequence A063783 A063784 A063785
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KEYWORD
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nonn
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AUTHOR
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Klaus E. Kastberg (kastberg(AT)hotkey.net.au), Aug 17 2001
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 25 2001
OFFSET changed from 0,1 to 1,1 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 31 2009
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