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A104582
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Triangle read by rows: T(i,j) is the (i,j)-entry (1<=j<=i) of the product of the lower triangular matrix (fibonacci(i-j+1)) and of the lower triangular matrix all of whose entries are equal to 1 (for j<=i).
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1
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1, 2, 1, 4, 2, 1, 7, 4, 2, 1, 12, 7, 4, 2, 1, 20, 12, 7, 4, 2, 1, 33, 20, 12, 7, 4, 2, 1, 54, 33, 20, 12, 7, 4, 2, 1, 88, 54, 33, 20, 12, 7, 4, 2, 1, 143, 88, 54, 33, 20, 12, 7, 4, 2, 1, 232, 143, 88, 54, 33, 20, 12, 7, 4, 2, 1, 376, 232, 143, 88, 54, 33, 20, 12, 7, 4, 2, 1, 609, 376, 232
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| T(i, j)=fibonacci(i-j+3)-1 for 1<=j<=i and 0 otherwise. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2005
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EXAMPLE
| The first few rows of the triangle are:
1;
2, 1;
4, 2, 1;
7, 4, 2, 1;
12, 7, 4, 2, 1;
...
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MAPLE
| with(combinat): for i from 1 to 13 do seq(fibonacci(i-j+3)-1, j=1..i) od; # yields sequence in triangular form (Deutsch)
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CROSSREFS
| Sum of row n = fibonacci(n+4)-n-3 (A001924). Columns (starting from the diagonal entries) are the Fibonacci numbers -1 (A000071).
Sequence in context: A059370 A084534 A165899 * A133938 A074586 A134586
Adjacent sequences: A104579 A104580 A104581 * A104583 A104584 A104585
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 16 2005
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2005
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