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Search: id:A139375
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| A139375 |
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A Fibonacci-Catalan triangle. |
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+0
2
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| 1, 1, 1, 2, 2, 1, 3, 5, 3, 1, 5, 12, 9, 4, 1, 8, 31, 26, 14, 5, 1, 13, 85, 77, 46, 20, 6, 1, 21, 248, 235, 150, 73, 27, 7, 1, 34, 762, 741, 493, 258, 108, 35, 8, 1, 55, 2440, 2406, 1644, 903, 410, 152, 44, 9, 1, 89, 8064, 8009
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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First column is the Fibonacci numbers A000045(n+1). The second column is A090826.
Row sums are A090826(n+1). Diagonal sums are A139376. Inverse array is (1-x+2x^3-x^4,x(1-x)).
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FORMULA
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Riordan array (1/(1-x-x^2), xc(x)), c(x) the g.f. of A000108.
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EXAMPLE
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Triangle begins
1,
1, 1,
2, 2, 1,
3, 5, 3, 1,
5, 12, 9, 4, 1,
8, 31, 26, 14, 5, 1,
13, 85, 77, 46, 20, 6, 1,
21, 248, 235, 150, 73, 27, 7, 1,
34, 762, 741, 493, 258, 108, 35, 8, 1
The production matrix for this array is
1, 1,
1, 1, 1,
-1, 1, 1, 1,
0, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1, 1
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CROSSREFS
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Sequence in context: A144287 A106196 A037027 this_sequence A106198 A054336 A079956
Adjacent sequences: A139372 A139373 A139374 this_sequence A139376 A139377 A139378
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 15 2008
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