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A022167
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Triangle of Gaussian binomial coefficients [ n,k ] for q = 3.
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7
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1, 1, 1, 1, 4, 1, 1, 13, 13, 1, 1, 40, 130, 40, 1, 1, 121, 1210, 1210, 121, 1, 1, 364, 11011, 33880, 11011, 364, 1, 1, 1093, 99463, 925771, 925771, 99463, 1093, 1, 1, 3280, 896260, 25095280, 75913222, 25095280
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.
Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.
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LINKS
| T. D. Noe, Rows n=0..50 of triangle, flattened
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MAPLE
| A027871 := proc(n)
mul( 3^i-1, i=1..n) ;
end proc:
A022167 := proc(n, k)
A027871(n)/A027871(n-m)/A027871(m) ;
end proc:
seq(seq(A022167(n, m), m=0..n), n=0..10) ; # R. J. Mathar, Nov 14 2011
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CROSSREFS
| Cf. A006117 (row sums).
Sequence in context: A152613 A157153 A147565 * A064281 A050154 A179454
Adjacent sequences: A022164 A022165 A022166 * A022168 A022169 A022170
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KEYWORD
| nonn,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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