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Search: id:A049063
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| A049063 |
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Triangle a(n,k) (0<=k<=n) of profile numbers. |
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+0
1
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| 1, 1, 1, 1, 2, 3, 2, 1, 2, 4, 7, 8, 4, 1, 2, 4, 8, 15, 22, 20, 8, 1, 2, 4, 8, 16, 31, 52, 64, 48, 16, 1, 2, 4, 8, 16, 32, 63, 114, 168, 176, 112, 32, 1, 2, 4, 8, 16, 32, 64, 127, 240, 396, 512, 464, 256, 64, 1, 2, 4, 8, 16, 32, 64, 128, 255, 494, 876, 1304, 1488, 1184, 576
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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Rosenberg, A. L.; Profile numbers. Fibonacci Quart. 17 (1979), no. 3, 259-264.
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FORMULA
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a(n+1, k+1)=a(n, k)+2*a(n, k-1), k>0; a(n, 0)=1, a(1, 1)=1, a(n, 1)=2, a(n, n)=2^(n-1).
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EXAMPLE
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1; 1,1; 1,2,3,2; 1,2,4,7,8,4; 1,2,4,8,15,22,20,8; ...
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CROSSREFS
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Sequence in context: A105969 A163530 A114409 this_sequence A120894 A134819 A135267
Adjacent sequences: A049060 A049061 A049062 this_sequence A049064 A049065 A049066
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KEYWORD
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nonn,easy,nice,tabf
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu)
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