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Search: id:A112980
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| A112980 |
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a(1) = a(2) = 1; for n>2: a(n) = a(n-1)^5 + a(n-2)^5. |
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+0
1
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| 1, 1, 2, 33, 39135425, 91801604643057285538237803582627026018
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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A quintic Fibonacci sequence.
This is the quintic analogue of the Fibonacci sequence similarly to A000283 being the quadratic analogue of the Fibonacci sequence. In base 10, n^5 has the same rightmost digit as n. a(7) has 190 digits.
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LINKS
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Eric Weisstein's World of Mathematics, Quintic Equation.
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EXAMPLE
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a(3) = 1^5 + 1^5 = 2.
a(4) = 1^5 + 2^5 = 33.
a(5) = 2^5 + 33^5 = 39135425.
a(6) = 33^5 + 39135425^5 = 91801604643057285538237803582627026018.
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CROSSREFS
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Cf. A000045, A000283.
Sequence in context: A132519 A117969 A003820 this_sequence A109336 A098869 A131544
Adjacent sequences: A112977 A112978 A112979 this_sequence A112981 A112982 A112983
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Jan 02 2006
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