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Search: id:A152251
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| A152251 |
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Eigentriangle, row sums = A001519, odd-indexed Fibonacci numbers. |
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+0
2
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| 1, 1, 1, 2, 1, 2, 4, 2, 2, 5, 8, 4, 4, 5, 13, 16, 8, 8, 10, 13, 34, 32, 16, 16, 20, 26, 34, 89, 64, 32, 32, 40, 52, 68, 89, 233, 128, 64, 64, 80, 104, 136, 178, 233, 1597
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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Row sums = A001519, the odd indexed Fibonacci numbers starting (1, 2, 5, 13, 34,...).
Sum of n-th row terms = rightmost term of next row.
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FORMULA
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Triangle read by rows, M*Q. M = an infinite lower triangular matrix with (1, 1, 2, 4, 8, 16,...) in every column and Q = a matrix (1, 1, 2, 5, 13, 34,...) as the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
2, 1, 2;
4, 2, 2, 5;
8, 4, 4, 5, 13;
16, 8, 8, 10, 13, 34;
32, 16, 16, 20, 26, 34, 89;
64, 32, 32, 40, 52, 68, 89, 233;
128, 64, 64, 80, 104, 136, 178, 233, 1597;
... Row 4 = (8, 4, 4, 5, 13) = termwise products of (8, 4, 2, 1, 1) and (1, 1, 2, 5, 13).
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CROSSREFS
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A001519
Sequence in context: A145173 A082793 A114929 this_sequence A144025 A058573 A117268
Adjacent sequences: A152248 A152249 A152250 this_sequence A152252 A152253 A152254
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KEYWORD
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eigen,nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 30 2008
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