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A365707
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Initial digit of n^(n+1) (A007778(n)).
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3
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0, 1, 8, 8, 1, 1, 2, 5, 1, 3, 1, 3, 1, 3, 1, 6, 2, 1, 7, 3, 2, 1, 7, 4, 3, 2, 1, 1, 9, 7, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 6, 7, 9, 1, 1, 1, 2, 3, 4, 6, 8, 1, 1, 2, 4, 6, 1, 1, 2, 4, 8, 1, 2, 4, 8, 1, 2, 5, 1, 1, 3, 7, 1, 3, 6, 1, 2, 6, 1, 3, 7, 1, 3, 8, 2
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = floor((n^(n+1))/10^floor(log_10(n^(n+1))).
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EXAMPLE
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a(3) = 8, since 3^(3+1) = 3^4 = 81.
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MAPLE
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seq(convert(n^(n+1), base, 10)[-1], n=0..100); # Robert Israel, Feb 16 2024
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MATHEMATICA
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Join[{0}, Table[Floor[n^(n+1)/10^Floor[Log10[n^(n+1)]]], {n, 86}]]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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