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A079829 a(n) = smallest k such that floor[R(k)/k] >= n. +0
1
1, 13, 15, 17, 106, 107, 108, 109, 1089 (list; graph; listen)
OFFSET

1,2

COMMENT

The complete sequence is now given. Proof (that there is no k such that R(k)/k >= 10): Since R(k) and k have the same number of digits, we see that R(k)/k < 10, else R(k) would have at least one more base-10 digit. - Ryan Propper (rpropper(AT)stanford.edu), Aug 27 2005

EXAMPLE

a(3)= 15 as floor[51/15] = 3 and 15 is the smallest such number.

MATHEMATICA

r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[k = 1; While[Floor[r[k]/k] < n, k++ ]; Print[k], {n, 1, 9}] (Propper)

CROSSREFS

Cf. A079830.

Sequence in context: A120129 A109019 A068893 this_sequence A096090 A037286 A166533

Adjacent sequences: A079826 A079827 A079828 this_sequence A079830 A079831 A079832

KEYWORD

base,fini,full,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 11 2003

EXTENSIONS

More terms from Ryan Propper (rpropper(AT)stanford.edu), Aug 27 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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