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A114213
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A generalized Pascal triangle modulo 2.
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2
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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, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are A114212. Diagonal sums are A114214. Row sums of inverse are 0^n (conjecture).
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FORMULA
| T(n, k)=sum{j=0..n-k, C(k, j)C(n-k, j)(1+(-1)^j)/2} mod 2.
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EXAMPLE
| Triangle begins
.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;
.1,1,0,1,0,1,0,1,1;
.1,1,0,0,0,0,0,0,1,1;
.1,1,1,0,0,0,0,0,1,1,1;
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CROSSREFS
| Sequence in context: A178788 A131217 A105567 * A108358 A144384 A144475
Adjacent sequences: A114210 A114211 A114212 * A114214 A114215 A114216
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 17 2005
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