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Smallest number that is not a sum of at most one power of each of the numbers 1 through n.
1

%I #15 Oct 19 2017 03:13:49

%S 1,2,6,15,53,204,457,12199,110580,765920,29631246,733709898,

%T 22329951066

%N Smallest number that is not a sum of at most one power of each of the numbers 1 through n.

%e a(2)=6 because 6 is the first number that is not of the form 1+2^i, 2^i or 1; a(3)=15 because 15 is smallest number not of form 1^i+2^j+3^k where i,j,k = -infinity or >=0.

%e The old value for a(11), 436070111, was not correct since 436070111 = 1 + 2^26 + 3^7 + 4^2 + 5^8 + 6^11 + 7^8 + 9^4. - _Donovan Johnson_, Oct 09 2009

%Y Cf. A047871.

%K nonn,more,nice

%O 0,2

%A Nathan M. Simpson (ntsimp(AT)concentric.net)

%E Corrected and extended by _David W. Wilson_

%E Two more terms from _Don Reble_, Oct 26 2001

%E a(11) corrected by _Donovan Johnson_, Oct 08 2009

%E a(12) from _Donovan Johnson_, Jul 22 2010