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A084759
Composite numbers in ascending order such that the difference of successive terms is unique. a(m) - a(m-1) = a(k) - a(k-1) iff m = k.
2
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
OFFSET
1,1
COMMENTS
The sequence of first differences 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.
EXAMPLE
The term after 14 is 20 and not 18 or 16 as 6-4 = 16-14 = 2, 18-14 = 14-10 = 4.
CROSSREFS
Sequence in context: A317299 A236026 A193305 * A054395 A142863 A318990
KEYWORD
nonn
AUTHOR
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 17 2003
EXTENSIONS
More terms from David Wasserman, Jan 05 2005
STATUS
approved