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Search: id:A084759
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| A084759 |
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Composite numbers in ascending order such that difference of successive terms is unique. a(m)-a(m-1) = a(k)-a(k-1) iff m = k. |
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+0
3
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| 4, 6, 9, 10, 14, 20, 25, 32, 40, 49, 60, 70, 82, 95, 110, 124, 140, 158, 175, 194, 214, 235, 258, 280, 304, 329, 355, 382, 410, 440, 469, 500, 532, 565, 600, 634, 670, 707, 745, 784, 824, 865, 908, 950, 994, 1040, 1085, 1132, 1180, 1230, 1281, 1330, 1382, 1435
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The sequence of successive difference is 2,3,1,4,6,5,7,8,9,11,10,12,13,15,14,16,18,17,19,20,21,23,22,24,25,26,27,28,... Conjecture: every number is a term of this sequence. For every number r there exists some k such that a(k) - a(k-1)= r.
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EXAMPLE
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After 14 it is 20 and not 18 or 16 as 6-4 = 16-14 = 2, 18-14 = 14-10 = 4.
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CROSSREFS
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Cf. A084758.
Sequence in context: A036326 A078972 A115652 this_sequence A054395 A132435 A108631
Adjacent sequences: A084756 A084757 A084758 this_sequence A084760 A084761 A084762
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 17 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 05 2005
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