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Search: id:A125172
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| A125172 |
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Partial column sums of even indexed Fibonacci numbers, companion to A125171. |
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+0
1
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| 1, 3, 1, 8, 4, 1, 21, 12, 5, 1, 55, 33, 17, 6, 1, 144, 88, 50, 23, 7, 1, 377, 232, 138, 73, 30, 8, 1, 987, 609, 370, 211, 103, 38, 9, 1, 2584, 1596, 979, 581, 314, 141, 47, 10, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A105693: (1, 4, 13, 39, 112...), partial sums of A061667. Companion triangle A125171 = partial column sums of odd indexed Fibonacci terms having row sums A061667.
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FORMULA
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Let the left border = even indexed Fibonacci numbers, (1, 3, 8, 21,...); then for k>1, T(n,k) = (n-1,k) + (n-1,k-1).
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EXAMPLE
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(6,3) = 50 = 17 + 33 = (5,3) + (5,2). First few rows of the triangle are:
1;
3, 1;
8, 4, 1;
21, 12, 5, 1;
55, 33, 17, 6, 1;
144, 88, 50, 23, 7, 1;
...
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CROSSREFS
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Cf. A105693, A125171, A061667.
Sequence in context: A054506 A101026 A055249 this_sequence A073732 A021318 A068437
Adjacent sequences: A125169 A125170 A125171 this_sequence A125173 A125174 A125175
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 22 2006
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