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A101866
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Array read by antidiagonals: T(n,k) = Arnoux's product T(n,k) = n * k = nk + ceiling(phi n) ceiling(phi k) where phi = (1 + sqrt(5))/2.
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9
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5, 10, 10, 13, 20, 13, 18, 26, 26, 18, 23, 36, 34, 36, 23, 26, 46, 47, 47, 46, 26, 31, 52, 60, 65, 60, 52, 31, 34, 62, 68, 83, 83, 68, 62, 34, 39, 68, 81, 94, 106, 94, 81, 68, 39, 44, 78, 89, 112, 120, 120, 112, 89, 78, 44, 47, 88, 102, 123, 143, 136, 143, 123, 102, 88, 47, 52
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Row 1: (positions of 1 in A188009); viz.,
A188009=(0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,...)
A101866=(5,10,13,18,23,26,31,34,39,44,47,57,60,...)
[From Clark Kimberling, Mar 19 2011]
Actually, the first column of array A101866 corresponds to the positions of 1 in A188009. [From John W. Layman (layman(AT)math.vt.edu, Mar 19 2011]
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REFERENCES
| P. Arnoux, Some remarks about Fibonacci multiplication, Appl. Math. Lett. 2 (No. 4, 1989), 319-320.
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CROSSREFS
| See A101330, A101385, A101633, A101858 for related definitions of product.
Main diagonal is A101867. First 3 rows are A101868, A101869, A101870.
Sequence in context: A040020 A123337 A038671 * A201033 A032242 A107975
Adjacent sequences: A101863 A101864 A101865 * A101867 A101868 A101869
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KEYWORD
| nonn,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 28 2005
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