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Search: id:A108358
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| A108358 |
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A mod 2 triangle based on floor((n+2)/2). |
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+0
3
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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Row sums are A108355. Diagonal sums are A108356.
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FORMULA
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Number triangle T(n, k)=(sum{j=0..n-k, C(k, j)C(n-j, k)*floor((j+2)/2)} mod 2); Column k has g.f. x^k(1+x(mod(a(k+2), 4)))/(1-x^a(k)) where a(n)=-3cos(pi*n/2)/2-3sin(pi*n/2)/2+5/2=(1, 1, 4, 4, 1, 1, 4, 4, ...). T(n, k)=A108359(n, k) mod 2.
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EXAMPLE
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Rows begin
1;
1,1;
1,1,1;
1,1,1,1;
1,1,0,1,1;
1,1,0,0,1,1;
1,1,1,0,1,1,1;
1,1,1,1,1,1,1,1;
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CROSSREFS
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Adjacent sequences: A108355 A108356 A108357 this_sequence A108359 A108360 A108361
Sequence in context: A131217 A105567 A114213 this_sequence A011758 A015088 A015166
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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), May 31 2005
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