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Search: id:A117695
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| A117695 |
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Number of different pairs of different numbers, with digits different from zero, that produce a sum equal to 0, 1, 2, 3, 4, 5, 6, 7, 8, etc. |
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+0
1
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| 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 12, 12, 13, 13, 14, 14, 15, 15, 16, 18, 16, 16, 17, 17, 18, 18, 19, 19, 20, 22, 20, 20, 21, 21, 22, 22, 23, 23, 24, 27, 24, 24, 25, 25, 26, 26, 27, 27, 28, 31, 28, 28, 29, 29, 30, 30, 31
(list; graph; listen)
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OFFSET
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0,5
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EXAMPLE
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Es. 10 = 1 + 9 = 2 + 8 = 3 + 7 = 4 + 6 therefore we have 4 different couples
9 + 1 is not considered because is the same couple as 1 + 9
5 + 5 is not considered because we consider couples with different numbers
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MAPLE
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P:=proc(n)local i, j, k, cc, lm, ok, count; for cc from 1 by 1 to n do if trunc(cc/2)*2=cc then lm:=cc/2-1 else lm:=trunc(cc/2) fi; count:=0; for i from 1 by 1 to lm do ok:=0; k:=i; while k>0 do j:=frac(k/10)*10; if j=0 then ok:=1; fi; k:=trunc(k/10); od; k:=cc-i; while k>0 do j:=frac(k/10)*10; if j=0 then ok:=1; fi; k:=trunc(k/10); od; if ok=1 then count:=count+1; fi; od; print(lm-count); od; end: P(1000);
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CROSSREFS
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Cf. A117644.
Adjacent sequences: A117692 A117693 A117694 this_sequence A117696 A117697 A117698
Sequence in context: A070549 A074796 A061070 this_sequence A074794 A048686 A090501
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KEYWORD
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nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Apr 13 2006
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