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A101858
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Array read by antidiagonals: T(n,k) = Porta-Stolarsky star product T(n,k) = n * k = nk + floor(phi n) floor(phi k) where phi = (1 + sqrt(5))/2.
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6
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2, 5, 5, 7, 13, 7, 10, 18, 18, 10, 13, 26, 25, 26, 13, 15, 34, 36, 36, 34, 15, 18, 39, 47, 52, 47, 39, 18, 20, 47, 54, 68, 68, 54, 47, 20, 23, 52, 65, 78, 89, 78, 65, 52, 23, 26, 60, 72, 94, 102, 102, 94, 72, 60, 26, 28, 68, 83, 104, 123, 117, 123, 104, 83, 68, 28, 31, 73, 94, 120
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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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EXAMPLE
| ..2...5...7..10..13..15..18..20..23..26.
..5..13..18..26..34..39..47..52..60..68.
..7..18..25..36..47..54..65..72..83..94.
.10..26..36..52..68..78..94.104.120.136.
.13..34..47..68..89.102.123.136.157.178.
.15..39..54..78.102.117.141.156.180.204.
.18..47..65..94.123.141.170.188.217.246.
.20..52..72.104.136.156.188.208.240.272.
.23..60..83.120.157.180.217.240.277.314.
.26..68..94.136.178.204.246.272.314.356.
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MAPLE
| A101858 := proc(n, k)
phi := (1+sqrt(5))/2 ;
n*k+floor(n*phi)*floor(phi*k) ;
end proc: # R. J. Mathar, Dec 06 2011
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CROSSREFS
| See A101330, A101385, A101633, A101866 for related definitions of product.
Main diagonal is A101863. First 3 rows are A001950, A101864, A101865.
Sequence in context: A175649 A142353 A161180 * A165917 A165898 A194531
Adjacent sequences: A101855 A101856 A101857 * A101859 A101860 A101861
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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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