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A120428 Triangle read by rows in which row n gives a representation of n as a sum of distinct numbers from {1, primes} with a minimal number of terms. 0

%I #3 Mar 30 2012 16:50:26

%S 1,2,3,3,1,5,5,1,7,5,3,7,2,7,3,11,7,5,13,11,3,13,2,13,3,17,13,5,19,17,

%T 3,19,2,19,3,23,19,5,23,2,23,3,19,5,3,23,5,29

%N Triangle read by rows in which row n gives a representation of n as a sum of distinct numbers from {1, primes} with a minimal number of terms.

%C If there are several solutions with the minimal number of terms, choose the one with the greatest leading term, then the greatest second term, etc.

%C It can be shown that such a representation exists for all n.

%e 1=1

%e 2=2

%e 3=3

%e 4=3+1

%e 5=5

%e 6=5+1

%e 7=7

%e 8=5+3

%e 9=7+2

%e 10=7+3

%e 11=11

%e 12=7+5

%K nonn,tabf

%O 1,2

%A _N. J. A. Sloane_, based on a posting by Henry Baker to the math-fun list, Jul 22 2006

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Last modified April 18 16:22 EDT 2024. Contains 371780 sequences. (Running on oeis4.)