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Search: id:A120428
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| A120428 |
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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. |
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1
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| 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, 3, 19, 2, 19, 3, 23, 19, 5, 23, 2, 23, 3, 19, 5, 3, 23, 5, 29
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.
It can be shown that such a representation exists for all n.
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EXAMPLE
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1=1
2=2
3=3
4=3+1
5=5
6=5+1
7=7
8=5+3
9=7+2
10=7+3
11=11
12=7+5
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CROSSREFS
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Sequence in context: A077990 A085667 A035516 this_sequence A079950 A138677 A076239
Adjacent sequences: A120425 A120426 A120427 this_sequence A120429 A120430 A120431
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KEYWORD
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nonn,tabf
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AUTHOR
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njas, based on a posting by Henry Baker to the math-fun list, Jul 22 2006
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