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Search: id:A114280
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| A114280 |
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A triangle related to the Sierpinski related number triangle A114278. |
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+0
4
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| 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 3, 7, 4, 5, 1, 1, 3, 8, 6, 11, 3, 1, 1, 4, 14, 14, 35, 14, 7, 1, 1, 4, 14, 14, 35, 14, 7, 1, 1, 1, 5, 22, 28, 91, 49, 35, 8, 9, 1, 1, 5, 23, 32, 119, 77, 70, 22, 37, 5, 1
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Constructed as follows: Take inverse binomial transform of square array associated to A114278. Multiply by diagonal matrix with reciprocal of Gould numbers A001316 on diagonal. Transpose. The k-th column of A114278 has g.f. given by x^k*sum{j=0..k, A001316(j)*A114280(k,j)*x^j/(1-x)^(j+1)}. Row sums are A114281. Inverse has row sums 0^n (conjecture).
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EXAMPLE
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Triangle begins
1;
1, 1;
1, 1, 1;
1, 2, 3, 1;
1, 2, 3, 1, 1;
1, 3, 7, 4, 5, 1;
1, 3, 8, 6,11, 3, 1;
1, 4,14,14,35,14, 7, 1;
1, 4,14,14,35,14, 7, 1, 1;
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CROSSREFS
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Adjacent sequences: A114277 A114278 A114279 this_sequence A114281 A114282 A114283
Sequence in context: A055444 A102383 A070913 this_sequence A123564 A065882 A007884
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 20 2005
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