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A133366
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Triangle T(n,k)read by rows given by [3,1,3,1,3,1,3,1,3,1,3,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.
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0
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1, 3, 1, 12, 7, 1, 57, 43, 11, 1, 300, 262, 90, 15, 1, 1686, 1618, 667, 153, 19, 1, 9912, 10159, 4745, 1336, 232, 23, 1, 60213, 64783, 33147, 10785, 2333, 327, 27, 1, 374988, 418786, 229726, 83286, 21098, 3722, 438, 31, 1
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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T(0,0)=1; T(n,k) = 0 if k < 0 or if k > n; T(n,0) = 3*T(n-1,0) + 3*T(n-1,1); T(n,k) = T(n-1,k-1) + 4*T(n-1,k) + 3*T(n-1,k+1) for k >= 1.
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EXAMPLE
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Triangle begins:
1;
3, 1;
12, 7, 1;
57, 43, 11, 1;
300, 262, 90, 15, 1;
1686, 1618, 667, 153, 19, 1;
9912, 10159, 4745, 1336, 232, 23, 1;
60213, 64783, 33147, 10785, 2333, 327, 27, 1;
374988, 418786, 229786, 83286, 21098, 3722, 438, 31, 1; ...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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