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Search: id:A112969
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| A112969 |
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a(1) = a(2) = 1; for n>2: a(n) = a(n-1)^4 + a(n-2)^4. |
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+0
10
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| 1, 1, 2, 17, 83537, 48698490414981559682, 5624216052381164150697569400035392464306474190030694298257552124199835791859537
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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A quartic Fibonacci sequence.
This is the quartic (or biquadratic) analogue of the Fibonacci sequence similarly to A000283 being the quadratic analogue of the Fibonacci sequence. The primes begin a(3), a(4), a(5).
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LINKS
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Eric Weisstein's World of Mathematics, Quartic Equation.
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EXAMPLE
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a(3) = 1^4 + 1^4 = 2.
a(4) = 1^4 + 2^4 = 17.
a(5) = 2^4 + 17^4 = 83537.
a(6) = 17^4 + 83537^4 = 48698490414981559682.
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CROSSREFS
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Cf. A000045, A000283.
Sequence in context: A003819 A078624 A163319 this_sequence A077452 A113918 A094048
Adjacent sequences: A112966 A112967 A112968 this_sequence A112970 A112971 A112972
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 02 2006
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