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A080870
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a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1.
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2
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1, 5, 15, 41, 107, 276, 708, 1811, 4629, 11827, 30214, 77182, 197159, 503632, 1286495, 3286264, 8394533, 21443246, 54775263, 139919550, 357414628, 912990471, 2332169791, 5957363305, 15217664544, 38872451165, 99296935817
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OFFSET
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1,2
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COMMENTS
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Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869.
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LINKS
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FORMULA
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a(n) = floor(x^n)-1, where x=2.554429495392724...
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EXAMPLE
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Given a(4)=41, then a(5)=107 because 107^4 > (41+1)^5.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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