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Search: id:A094565
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| A094565 |
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Triangle read by rows: binary products of Fibonacci numbers. |
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+0
3
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| 1, 2, 3, 5, 6, 8, 13, 15, 16, 21, 34, 39, 40, 42, 55, 89, 102, 104, 105, 110, 144, 233, 267, 272, 273, 275, 288, 377, 610, 699, 712, 714, 715, 720, 754, 987, 1597, 1830, 1864, 1869, 1870, 1872, 1885, 1974, 2584, 4181, 4791, 4880, 4893, 4895, 4896, 4901, 4935
(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 n consists of n numbers, first F(2n-1) and last F(2n). Central numbers: (1,6,40,273,...)=A081016 Row sums: A001870 Alternating row sums: 1,1,7,7,48,48,329,329; the sequence b=(1,7,48,329,...) is A004187, given by b(n)=F(4n+2)-b(n-1) for n>=2, with b(1)=1.
In each row, the difference between neighboring terms is a Fibonacci number.
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REFERENCES
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C. Kimberling, Orderings of Products of Fibonacci Numbers, Fibonacci Quart. 42 (2004), no. 1, 28-35.
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FORMULA
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Row n: F(2)F(2n-1), F(4)F(2n-3), ..., F(2n)F(1)
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EXAMPLE
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Rows 1 to 4:
1
2 3
5 6 8
13 15 16 21
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CROSSREFS
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Cf. A000045, A094566, A094568.
Sequence in context: A125559 A087360 A111501 this_sequence A034722 A144712 A050028
Adjacent sequences: A094562 A094563 A094564 this_sequence A094566 A094567 A094568
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), May 12 2004
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