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Search: id:A109851
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| A109851 |
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a(1) = 1, a(2) = 2; for n > 2, sum of absolute differences of all combinations of pairs of previous terms. |
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+0
1
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| 1, 2, 1, 2, 4, 14, 74, 494, 3854, 34094, 336494, 3662894, 43579694, 562498094, 7827355694, 116800219694, 1860366043694, 31500985051694, 565032127195694, 10702123827931694, 213443957842651694, 4471022472151771694, 98137749786952411694, 2252472478027367131694
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OFFSET
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0,2
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COMMENT
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The final digit approaches a limit. That is, after the first few terms, all the terms end in 70194710743368411694 and as more terms go by, even more digits remain constant. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 04 2006
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FORMULA
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a(n+1) = a(n) + sum [ absolute{a(n) - a(k)}, k = 1 to n].
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EXAMPLE
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14 is the next term after 4= a(5), 14 = 4 + abs(4-a(1)) + abs(4-a(2)) + abs( 4-a(3)) + abs(4-a(4)).
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CROSSREFS
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Sequence in context: A145667 A095067 A032259 this_sequence A011404 A002211 A132309
Adjacent sequences: A109848 A109849 A109850 this_sequence A109852 A109853 A109854
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 06 2005
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 04 2006
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