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A081030 a(n) = largest k such that (sum of digits of k^n) >= k. 0
9, 17, 27, 36, 46, 64, 68, 74, 88, 117, 123, 138, 146, 154, 199, 204, 216, 232, 232, 242, 259, 256, 284, 323, 337, 344, 341, 357, 358, 396, 443, 393, 423, 465, 477, 484, 519, 521, 533, 518, 569, 597, 591, 626, 638, 682, 666, 667, 695, 712, 698, 739, 746, 784 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..54.

EXAMPLE

a(2) = 17. We have 17^2 = 289 and 2+8+9 >= 17. No number > 17 has this property.

MATHEMATICA

(* the constant 20 may need to be higher for larger n *) Table[Select[Range[20*n], Total[IntegerDigits[#^n]] >= # &][[-1]], {n, 100}] (* T. D. Noe, Oct 21 2011 *)

CROSSREFS

Cf. A055568, A055569, A055570, A055571, A055572.

Sequence in context: A126623 A235361 A109333 * A285009 A228260 A147459

Adjacent sequences:  A081027 A081028 A081029 * A081031 A081032 A081033

KEYWORD

base,nonn

AUTHOR

David W. Wilson, Mar 02 2003

EXTENSIONS

Definition corrected by Harvey P. Dale, Oct 21 2011

STATUS

approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)