A138029 Main diagonal of A138028; the most significant digit of n^(n-1).
1, 2, 9, 6, 6, 7, 1, 2, 4, 1, 2, 7, 2, 7, 2, 1, 4, 2, 1, 5, 2, 1, 9, 5, 3, 2, 1, 1, 8, 6, 5, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6, 8, 1, 1, 1, 2, 3, 4, 6, 9, 1, 2, 3, 5, 8, 1, 2, 3, 6, 1, 1, 3, 5, 1, 2, 3, 7, 1, 2, 5, 1, 2, 4, 1, 2, 4, 1, 2, 5, 1, 2, 6, 1, 3, 8, 2, 5, 1, 3, 8, 2, 5, 1, 3, 1, 2, 7, 2, 5, 1
Offset: 1
Links
- Robert Israel, Table of n, a(n) for n = 1..10000
Programs
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Maple
f:= n -> floor(10^frac((n-1)*log[10](n))): map(f, [$1..200]); # Robert Israel, Jan 15 2019
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Mathematica
f[n_, k_] := Quotient[n^k, 10^Floor[k*Log[10, n]]]; Table[ f[ n, n - 1], {n, 105}]
Extensions
Name corrected by Robert Israel, Jan 15 2019