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Search: id:A118231
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| A118231 |
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Triangle, read by rows, equal to the matrix square of triangle A118229. |
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+0
3
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| 1, -2, 1, -2, 0, 1, 4, -2, -2, 1, -2, 0, 0, 0, 1, 2, 1, 1, -2, -2, 1, 4, 0, -2, 0, -2, 0, 1, -6, 1, 6, -2, 1, 0, -2, 1, -4, 0, 1, 0, 3, 0, -2, 0, 1, 6, -1, -6, 4, -1, -2, 4, -2, -2, 1, -4, 0, 3, 0, 1, 0, -2, 0, 0, 0, 1, 4, 0, -3, -1, -1, 1, 2, 1, 1, -2, -2, 1, 14, 0, -7, 0, -7, 0, 6, 0, -2, 0, -2, 0, 1, -14, 0, 3, 1, 10, 0, -4, -2, 3, 0, 1, 0, -2, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Describes the sequence transformation of triangle A118229 iterated twice. Also equals the matrix inverse of triangle A118233.
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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Triangle begins:
1;
-2, 1;
-2, 0, 1;
4,-2,-2, 1;
-2, 0, 0, 0, 1;
2, 1, 1,-2,-2, 1;
4, 0,-2, 0,-2, 0, 1;
-6, 1, 6,-2, 1, 0,-2, 1;
-4, 0, 1, 0, 3, 0,-2, 0, 1;
6,-1,-6, 4,-1,-2, 4,-2,-2, 1;
-4, 0, 3, 0, 1, 0,-2, 0, 0, 0, 1;
4, 0,-3,-1,-1, 1, 2, 1, 1,-2,-2, 1;
14, 0,-7, 0,-7, 0, 6, 0,-2, 0,-2, 0, 1; ...
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PROGRAM
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(PARI) T(n, k)=if(n<k|k<0, 0, (matrix(n, n, r, c, if(r>=c, if(gcd(r-c+1, c)==1, 1, 0)))^-2)[n, k])
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CROSSREFS
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Cf. A118229, A118233 (inverse).
Sequence in context: A156837 A129559 A129680 this_sequence A166453 A118233 A159955
Adjacent sequences: A118228 A118229 A118230 this_sequence A118232 A118233 A118234
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KEYWORD
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sign,tabl
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AUTHOR
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Leroy Quet, Paul D. Hanna (pauldhanna(AT)juno.com), Apr 16 2006
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