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A078446
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a(1)=a(2)=1; a(n)=a(n-2)/2 if a(n-2) is even, a(n)=a(n-1)+a(n-2) otherwise.
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9
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1, 1, 2, 3, 1, 4, 5, 2, 7, 1, 8, 9, 4, 13, 2, 15, 1, 16, 17, 8, 25, 4, 29, 2, 31, 1, 32, 33, 16, 49, 8, 57, 4, 61, 2, 63, 1, 64, 65, 32, 97, 16, 113, 8, 121, 4, 125, 2, 127, 1, 128, 129, 64, 193, 32, 225, 16, 241, 8, 249, 4, 253, 2, 255, 1, 256, 257, 128, 385, 64, 449, 32, 481, 16, 497
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| The following sequences all have the same parity: A004737, A006590, A027052, A071028, A071797, A078358, A078446. - Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Mar 16 2003
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FORMULA
| a(n^2)=2^n-1; a(n^2+1)=1; a(n^2+2)=2^n; a(n^2+3)=2^n+1; a(n^2+4)=2^(n-1); a(n^2+5)=3*2^n+1 ...; inequality : a(n)/2^sqrt(n) <2
Sum(k=1, n^2, a(k)) = 2*(n-2)*2^n + n*(n+1)/2 + 4
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CROSSREFS
| Sequence in context: A131225 A137671 A026370 * A055447 A055448 A055449
Adjacent sequences: A078443 A078444 A078445 * A078447 A078448 A078449
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 31 2002
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