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Search: id:A096062
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| A096062 |
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a(1) = a(2) = 1; for n > 2, if a(n-2) + a(n-1) > n then a(n) = abs(a(n-2) - a(n-1)) else a(n) = a(n-2) + a(n-1). |
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+0
1
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| 1, 1, 2, 3, 5, 2, 7, 5, 2, 7, 9, 2, 11, 13, 2, 15, 17, 2, 19, 17, 2, 19, 21, 2, 23, 25, 2, 27, 29, 2, 31, 29, 2, 31, 33, 2, 35, 37, 2, 39, 41, 2, 43, 41, 2, 43, 45, 2, 47, 49, 2, 51, 53, 2, 55, 53, 2, 55, 57, 2, 59, 61, 2, 63, 65, 2, 67, 65, 2, 67, 69, 2, 71, 73, 2, 75, 77, 2, 79, 77, 2
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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For n > 1: a(n) = 2 if n mod 12 = {0,3,6,9}, a(n) = n if n mod 12 = {5,7}, a(n) = n-1 if n mod 12 = {2,4}, a(n) = n-2 if n mod 12 = {1,11}, a(n) = n-3 if n mod 12 = {8,10}. - Klaus Brockhaus, Jun 19 2004
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EXAMPLE
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a(8) + a(9) = 5 + 2 = 7 < 10, so a(10) = 7. a(16) + a(17) = 15 + 17 = 32 > 18, so a(18) = abs(15 - 17) = 2.
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PROGRAM
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(PARI) m=81; print1(a=1, ", ", b=1, ", "); for(n=3, m, print1(c=if(a+b>n, abs(a-b), a+b), ", "); a=b; b=c)
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CROSSREFS
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Sequence in context: A073481 A122556 A084346 this_sequence A069227 A117368 A137826
Adjacent sequences: A096059 A096060 A096061 this_sequence A096063 A096064 A096065
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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), Jun 18 2004
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EXTENSIONS
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Edited, corrected and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 19 2004
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