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Search: id:A118729
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| A118729 |
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In the number system there are an infinite number of square domains. The rth domain is divided into eight r-ades.The square domains are defined as the numbers between and including 8x two successive triangle numbers. An example is for r=2: 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24. |
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1
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| 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 18, 20, 22, 24, 27, 30, 33, 36, 39, 42, 45, 48, 52, 56, 60, 64, 68, 72, 76, 80, 85, 90, 95, 100, 105, 110, 115, 120
(list; graph; listen)
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OFFSET
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0,10
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COMMENT
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We had first used this notation for the Ellerstein square spiral, but now apply it also for linear square domains. It may also be used for a tree display.
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FORMULA
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4r^2- 4r 4r^2 - 3r 4r^2 - 2r 4r^2 - r 4r^2 4r^2 + r 4r^2 + 2r 4r^2 + 3r 4r^2 + 4r where r = 0,1,2,3,...
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EXAMPLE
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When r=2: 8 10 12 14 16 18 20 22 24
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CROSSREFS
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Sequence in context: A080750 A113768 A122936 this_sequence A008726 A022788 A141340
Adjacent sequences: A118726 A118727 A118728 this_sequence A118730 A118731 A118732
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KEYWORD
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easy,nonn,uned
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AUTHOR
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Stuart M. Ellerstein (ellerstein(AT)aol.com), May 21 2006
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