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A074829
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Triangle formed by Pascal's rule, except begin and end the n-th row with the n-th Fibonacci number.
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1
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1, 1, 1, 2, 2, 2, 3, 4, 4, 3, 5, 7, 8, 7, 5, 8, 12, 15, 15, 12, 8, 13, 20, 27, 30, 27, 20, 13, 21, 33, 47, 67, 47, 33, 21, 34, 54, 80, 104, 114, 104, 80, 54, 34, 55, 88, 134, 184, 218, 218, 184, 134, 88, 55, 89, 143, 222, 318, 402, 436, 402, 318, 222, 143, 89, 144, 232, 365
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,4
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LINKS
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Table of n, a(n) for n=1..68.
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EXAMPLE
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The first and second Fibonacci numbers are 1, 1, so the first and second rows of the triangle are 1; 1 1; respectively. The third row of the triangle begins and ends with the third Fibonacci number, 2 and the middle term is the sum of the contiguous two terms in the second row, i.e. 1 + 1 = 2; so the third row is 2 2 2.
Triangle begins:
1;
1, 1;
2, 2, 2;
3, 4, 4, 3;
5, 7, 8, 7, 5;
8, 12, 15, 15, 12, 8;
13, 20, 27, 30, 27, 20, 13;
21, 33, 47, 57, 57, 47, 33, 21;
34, 54, 80, 104, 114, 104, 80, 54, 34;
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CROSSREFS
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Sequence in context: A085201 A051601 A193921 * A060243 A054225 A091822
Adjacent sequences: A074826 A074827 A074828 * A074830 A074831 A074832
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Sep 30 2002
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EXTENSIONS
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More terms from Philippe DELEHAM, Sep 20 2006
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STATUS
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approved
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