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A140471
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Floored n-th power of Viswanath's constant.
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0
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1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 22, 25, 28, 32, 36, 41, 46, 52, 59, 67, 76, 86, 98, 111, 125, 142, 161, 182, 206, 233, 264, 299, 339, 384, 434, 492, 557, 630, 713, 808, 914, 1035, 1172, 1326, 1502, 1700, 1924
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OFFSET
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0,7
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COMMENTS
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For sufficiently large terms of a random Fibonacci sequence, the powers of Viswanath's constant approximate the absolute value of the terms in such a sequence (with a few notable exceptions).
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LINKS
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FORMULA
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a(n) = floor(v^n), where v = 1.1319882487943 as given by A078416.
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EXAMPLE
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a(7) = 2 because V^7 is approximately 2.381734947432 and floored that is 2.
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MATHEMATICA
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V = 1.1319882487943; Table[Floor[V^n], {n, 0, 49}]
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CROSSREFS
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Cf. A014217, floored n-th power of the golden ratio; A000149, floored n-th power of e; A001672, floored n-th power of Pi.
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KEYWORD
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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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