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A097413
Initial decimal digit of n^9.
7
1, 5, 1, 2, 1, 1, 4, 1, 3, 1, 2, 5, 1, 2, 3, 6, 1, 1, 3, 5, 7, 1, 1, 2, 3, 5, 7, 1, 1, 1, 2, 3, 4, 6, 7, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 9, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 1, 1, 1, 1
OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, Gelfand's Question
FORMULA
a(n) = A000030(n^9) = floor(n^9/10^A004216(n^9)). - Robert Israel, Jan 28 2016
EXAMPLE
1, 512, 19683, 262144, 1953125, 10077696, 40353607, 134217728, 387420489, 1000000000, ...
MAPLE
idd:= n -> floor(n/10^ilog10(n)):
seq(idd(n^9), n=2..100); # Robert Israel, Jan 28 2016
MATHEMATICA
Table[IntegerDigits[n^9][[1]], {n, 120}] (* Harvey P. Dale, Aug 25 2023 *)
KEYWORD
nonn,base,easy
AUTHOR
Eric W. Weisstein, Aug 16 2004
STATUS
approved