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 A174944 Greatest number k such that sum of the n-th powers of the digits of k is greater than k. 0
 99, 1999, 19999, 199999, 2999999, 29999999, 299999999, 2999999999, 29999999999, 299999999999, 2999999999999, 29999999999999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 REFERENCES J.M. De Koninck, Ces nombres qui nous fascinent. Entry 19999 p.212. Ellipses, 2008. LINKS Table of n, a(n) for n=2..13. EXAMPLE a(4) = 19999 is in the sequence because, if k > 19999, sum of 4th powers of digits < k. MAPLE with(numtheory):for k from 1 to 10 do:maxi:=0:for n from 1 to 2000000 do:l:=length(n):n0:=n:s:=0:for m from 1 to l do:q:=n0:u:=irem(q, 10):v:=iquo(q, 10):n0:=v :s:=s+u^k:od: if s>n and s>maxi then maxi:=s:n1:=n:else fi:od:print(n1):od: CROSSREFS Sequence in context: A196808 A305721 A197372 * A221330 A246247 A157370 Adjacent sequences: A174941 A174942 A174943 * A174945 A174946 A174947 KEYWORD nonn,base AUTHOR Michel Lagneau, Dec 02 2010 STATUS approved

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Last modified June 3 18:44 EDT 2023. Contains 363116 sequences. (Running on oeis4.)