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Search: id:A127218
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| A127218 |
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Half-indexed Lucas numbers second version L(n)=A000032=Lucas numbers a(0)=2, a(1)=2, a(2)=1, a(3)=2, a(4)=3, a(5)=3, a(2n)=L(n), for n>2: a(2n+1)=L(n)+L(n-3)=2*L(n-1) for n>5: a(n)+a(n+2)=a(n+4) a(2n)=L(n), so a(n)=L(n/2). |
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| 2, 2, 1, 2, 3, 3, 4, 6, 7, 8, 11, 14, 18, 22, 29, 36, 47, 58, 76, 94, 123, 152, 199, 246, 322, 398, 521, 644, 843, 1042, 1364, 1686, 2207, 2728, 3571, 4414, 5778, 7142, 9349, 11556, 15127, 18698, 24476, 30254, 39603, 48952, 64079
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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b(n)=A096748(n-1): for n>5: b(n)+b(n+4)=a(n+2) for n>5: a(n)+a(n+4)=5*b(n+2)
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MAPLE
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b[0]:=2:b[1]:=1:for n from 2 to 80 do b[n]:=b[n-1]+b[n-2] od: a[0]:=2:a[1]:=2:a[2]:=1:a[3]:=2:a[4]:=3:a[5]:=3: for n from 3 to 39 do a[2*n]:=b[n]:a[2*n+1]:=b[n]+b[n-3] od: seq(a[n], n=0..79);
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CROSSREFS
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Cf. A000032, A096748.
Sequence in context: A053284 A050371 A022871 this_sequence A071444 A085257 A072549
Adjacent sequences: A127215 A127216 A127217 this_sequence A127219 A127220 A127221
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KEYWORD
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easy,nonn
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AUTHOR
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Miklos Kristof (kristmikl(AT)freemail.hu), Mar 28 2007
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