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A112961
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a(n) = a(n-1)^3 + a(n-2)^3 for n >= 2 with a(0) = 0, a(1) = 1.
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7
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OFFSET
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0,4
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COMMENTS
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A cubic Fibonacci sequence.
This is the cubic analog of the Fibonacci sequence analogously to A000283 being the quadratic analog of the Fibonacci sequence.
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LINKS
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FORMULA
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EXAMPLE
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a(3) = 1^3 + 1^3 = 2.
a(4) = 1^3 + 2^3 = 9.
a(5) = 2^3 + 9^3 = 737.
a(6) = 9^3 + 737^3 = 400316282.
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MAPLE
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a:= proc(n) a(n):= `if`(n<2, n, a(n-1)^3+a(n-2)^3) end:
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MATHEMATICA
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RecurrenceTable[{a[1]==a[2]==1, a[n]==a[n-1]^3+a[n-2]^3}, a, {n, 10}] (* Harvey P. Dale, Aug 24 2014 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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