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Search: id:A086283
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| A086283 |
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a(1)=1, a(2)=1 and, for n>2, a(n) is the smallest positive integer such that the sequence of second order absolute difference is the sequence of positive integers {1,2,3,4,...}. |
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+0
1
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| 1, 1, 2, 5, 5, 1, 10, 7, 17, 15, 4, 3, 15, 15, 2, 29, 17, 45, 34, 5, 15, 45, 36, 5, 13, 45, 38, 5, 11, 45, 40, 5, 1, 37, 34, 71, 69, 31, 30, 69, 69, 29, 110, 71, 153, 27, 108, 73, 155, 25, 106, 75, 157, 23, 104, 77, 159, 21, 102, 79, 161, 19, 100, 81, 163, 17, 98, 83, 1, 15, 98
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OFFSET
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1,3
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COMMENT
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A085059 is the smallest positive sequence such that the first order absolute difference is {1,2,3,4,...}. Other related sequences may be found by searching for the words "absolute difference" with the "Lookup" facility.
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EXAMPLE
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For the initial terms, no smaller positive terms work than
Sequence {a(n)}: 1,1,2,5,5,1,10,7,17,15,4,3,...
First absolute difference: 0,1,3,0,4,9,3,10,2,11,1,...
Second absolute difference: 1,2,3,4,5,6,7,8,9,10,...
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CROSSREFS
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Cf. A085059.
Adjacent sequences: A086280 A086281 A086282 this_sequence A086284 A086285 A086286
Sequence in context: A061083 A075102 A021396 this_sequence A101458 A074250 A007292
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Aug 28 2003
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