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Search: id:A104449
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| A104449 |
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Fibonacci-type sequence. Each term is the sum of the two previous terms. |
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2
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| 3, 1, 4, 5, 9, 14, 23, 37, 60, 97, 157, 254, 411, 665, 1076, 1741, 2817, 4558, 7375, 11933, 19308, 31241, 50549, 81790, 132339, 214129, 346468, 560597, 907065, 1467662, 2374727, 3842389, 6217116
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The 6th row in the Wythoff array begins with the 6th term of the sequence (14, 23, 37, 60, 97, 157,...). a(n) = f(n-3) + f(n+2) for the Fibonacci numbers f(n) = f(n-1) + f(n-2); f(0) = 0, f(1) = 1.
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REFERENCES
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V. E. Hoggatt, Jr., Fibonacci and Lucas Numbers. Houghton, Boston, MA, 1969.
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LINKS
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Tanya Khovanova, Recursive Sequences
R. Knott, Fibonacci Numbers and the Golden Section .
Eric Weisstein's World of Mathematics, Fibonacci Number.
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FORMULA
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a(n) = a(n-1) + a(n-2); a(0) = 3, a(1) = 1
a(n)=3*fibonacci(n-1)+fibonacci(n), n>=0. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 05 2007
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MAPLE
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a:=n->3*fibonacci(n-1)+fibonacci(n): seq(a(n), n=0..32); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 05 2007
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CROSSREFS
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Cf. Other Fibonacci-type sequences: A000045, A000032, A013655. Other related sequences: A103343, A103344. Wythoff array: A035513.
Essentially the same as A000285.
Adjacent sequences: A104446 A104447 A104448 this_sequence A104450 A104451 A104452
Sequence in context: A068399 A105177 A050057 this_sequence A116416 A051203 A086271
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KEYWORD
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nonn
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AUTHOR
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Casey Mongoven (cm(AT)caseymongoven.com), Mar 08 2005
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