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 A112969 a(1) = a(2) = 1; for n>2: a(n) = a(n-1)^4 + a(n-2)^4. 10
 1, 1, 2, 17, 83537, 48698490414981559682, 5624216052381164150697569400035392464306474190030694298257552124199835791859537 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A quartic Fibonacci sequence. This is the quartic (or biquadratic) analog of the Fibonacci sequence similarly to A000283 being the quadratic analog of the Fibonacci sequence. The primes begin a(3), a(4), a(5). LINKS Eric Weisstein's World of Mathematics, Quartic Equation. FORMULA a(n) ~ c^(4^n), where c = 1.0111288972169538887655499395580320278253918666919181401824606983217263409... . - Vaclav Kotesovec, Dec 18 2014 EXAMPLE 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. MATHEMATICA RecurrenceTable[{a[1] ==1, a[2] == 1, a[n] == a[n-1]^4 + a[n-2]^4}, a, {n, 1, 8}] (* Vaclav Kotesovec, Dec 18 2014 *) CROSSREFS Cf. A000045, A000283. Sequence in context: A163319 A269836 A114950 * A208208 A290189 A279883 Adjacent sequences:  A112966 A112967 A112968 * A112970 A112971 A112972 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, Jan 02 2006 STATUS approved

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Last modified December 10 17:32 EST 2018. Contains 318049 sequences. (Running on oeis4.)