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Search: id:A117501
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| A117501 |
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Triangle generated from an array of generalized Fibonacci-like terms. |
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+0
2
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| 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 4, 4, 5, 5, 1, 5, 5, 7, 8, 8, 1, 6, 6, 9, 11, 13, 13, 1, 7, 7, 11, 14, 18, 21, 21, 1, 8, 8, 13, 17, 23, 29, 34, 34, 1, 9, 9, 15, 20, 28, 37, 47, 55, 55, 1, 10, 10, 17, 23, 33, 45, 60, 76, 89, 89
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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Difference terms of the array columns in triangle format becomes A117502.
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FORMULA
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The triangle by rows = antidiagonals of an array in which n-th row is generated by a Fibonacci-like operation: (1, n...then a(k+1) = a(k) + a(k-1)).
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EXAMPLE
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First few rows of the array are:
1, 1, 2, 3, 5,...
1, 2, 3, 5, 8,...
1, 3, 4, 7, 11,...
1, 4, 5, 9, 14,...
1, 5, 6, 11, 17,...
...
First few rows of the triangle are:
1;
1, 1;
1, 2, 2;
1, 3, 3, 3;
1, 4, 4, 5, 5;
1, 5, 5, 7, 8, 8;
1, 6, 6, 9, 11, 13, 13;
1, 7, 7, 11, 14, 18, 21, 21;
...
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CROSSREFS
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Cf. A117502, A001595.
Sequence in context: A116505 A110534 A071451 this_sequence A064740 A080967 A078570
Adjacent sequences: A117498 A117499 A117500 this_sequence A117502 A117503 A117504
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 23 2006
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