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A057607
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Triangle T(n,k) = number of binary n-tuples u having exactly k grandchildren, where a grandchild is a vector obtained by deleting any two coordinates of u (n >= 2, 0<=k<=2^(n-2)).
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2
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2, 0, 2, 6, 0, 2, 4, 6, 4, 0, 2, 4, 8, 4, 8, 4, 2, 0, 0, 2, 4, 10, 6, 12, 8, 8, 6, 6, 0, 2, 0, 0, 0, 0, 0, 0, 2, 4, 12, 8, 16, 14, 16, 12, 12, 12, 6, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 14, 10, 20, 22, 24, 22, 22, 26, 18, 16, 12, 16, 12, 0, 4, 10, 0
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listen;
history;
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internal format)
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OFFSET
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2,1
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REFERENCES
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N. J. A. Sloane, On single-deletion-correcting codes, in Codes and Designs (Columbus, OH, 2000), 273-291, Ohio State Univ. Math. Res. Inst. Publ., 10, de Gruyter, Berlin, 2002.
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LINKS
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_Reinhard Zumkeller_, Rows n = 2..15 of triangle, flattened
N. J. A. Sloane, On single-deletion-correcting codes
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EXAMPLE
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2; 0,2,6; 0,2,4,6,4; 0,2,4,8,4,8,4,2,0; ...
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PROG
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(Haskell)
a057607 n k = a057607_tabf !! (n-2) !! k
a057607_row n = a057607_tabf !! (n-2)
a057607_tabf = [2] : map (0 :) a057606_tabf
-- Reinhard Zumkeller, Apr 30 2012
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CROSSREFS
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Cf. A057606.
Sequence in context: A033739 A033733 A115951 * A212085 A208385 A186634
Adjacent sequences: A057604 A057605 A057606 * A057608 A057609 A057610
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KEYWORD
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nonn,tabf,nice
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AUTHOR
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N. J. A. Sloane, Oct 08 2000
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STATUS
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approved
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