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Search: id:A117704
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| A117704 |
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Least refined sequence that can be grouped to sum to either natural numbers or odd numbers. |
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+0
1
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| 1, 2, 1, 2, 3, 1, 5, 1, 5, 4, 3, 8, 9, 4, 6, 9, 2, 12, 3, 10, 9, 5, 15, 1, 15, 8, 9, 16, 2, 19, 6, 14, 15, 6, 22, 3, 20, 13, 11, 24, 1, 26, 10, 17, 22, 6, 29, 6, 24, 19, 12, 32, 1, 32, 15, 19, 30, 5, 36, 10, 27, 26, 12, 39, 4, 36, 21, 20, 39, 3, 43, 15, 29, 34, 11, 46, 8, 39, 28, 20, 49, 50
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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In other words, least common refinement of the natural numbers and the odd numbers.
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FORMULA
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a(n) = A005214(n) - A005214(n-1).
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EXAMPLE
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As natural numbers: 1,2,1+2,3+1,5,1+5,4+3,8,...
As odd numbers: 1,2+1,2+3,1+5+1,5+4,3+8,...
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CROSSREFS
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Cf. A118382, A005214, A000027, A005408.
Sequence in context: A055889 A125930 A101391 this_sequence A078032 A008313 A111377
Adjacent sequences: A117701 A117702 A117703 this_sequence A117705 A117706 A117707
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KEYWORD
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easy,nonn
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), Apr 27 2006
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