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A117944
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Triangle related to powers of 3 partitions of n.
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5
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1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are A117943. Inverse is A117945. Row sums of inverse are A039966. A117944=A117939 mod 2 and A117944=A117939^(-1) mod 2.
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FORMULA
| Triangle T(n,k)=sum{j=0..n, L(C(n,j)/3)*L(C(n-j,k)/3)} mod 2, where L(j/p) is the Legendre symbol of j and p.
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EXAMPLE
| Triangle begins
1,
0, 1,
1, 0, 1,
0, 0, 0, 1,
0, 0, 0, 0, 1,
0, 0, 0, 1, 0, 1,
1, 0, 0, 0, 0, 0, 1,
0, 1, 0, 0, 0, 0, 0, 1,
1, 0, 1, 0, 0, 0, 1, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
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CROSSREFS
| Sequence in context: A086694 A093317 A127253 * A117945 A128937 A102511
Adjacent sequences: A117941 A117942 A117943 * A117945 A117946 A117947
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 05 2006
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