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Search: id:A090173
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| A090173 |
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Triangle read by rows, related to Pascal's triangle read mod 2. |
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+0
2
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| 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1
(list; table; graph; listen)
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OFFSET
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0,1
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REFERENCES
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Y. Moshe, The density of 0's in recurrence double sequences, J Number Theory, 103 (2003), 109-121; see Fig. 2.
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FORMULA
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T(n, k) = T(n-1, k) + T(n-1, k-1) + T(n-2, k) + T(n-2, k-1) + T(n-2, j-2) for n >= 2, k >= 0, with initial conditions specified by first two rows.
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EXAMPLE
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0; 0,1; 0,1,1; 0,0,1,0; 0,1,1,1,1; ...
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CROSSREFS
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Cf. A007318, A083093, A090171-A090174.
a(n, k) = A090174(n-1, k-1), k>0, 0 otherwise.
Sequence in context: A095907 A056051 A143541 this_sequence A072784 A092436 A164056
Adjacent sequences: A090170 A090171 A090172 this_sequence A090174 A090175 A090176
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 19 2004
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EXTENSIONS
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Edited and extended by Christian G. Bower (bowerc(AT)usa.net), Jan 20 2004
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