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A302235
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Triangle T(n,k) of the numbers of k-matchings in the n-hypercube graph (0 <= k <= 2^(n-1)).
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4
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1, 1, 1, 4, 2, 1, 12, 42, 44, 9, 1, 32, 400, 2496, 8256, 14208, 11648, 3712, 272, 1, 80, 2840, 59120, 803580, 7517264, 49715240, 235146480, 795862790, 1910146160, 3190117800, 3594554960, 2605908220, 1129177840, 259084440, 25108944, 589185, 1, 192, 17376, 986240
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OFFSET
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1,4
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LINKS
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EXAMPLE
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Rows as matching-generating polynomials:
1 + x,
1 + 4*x + 2*x^2
1 + 12*x + 42*x^2 + 44*x^3 + 9*x^4
1 + 32*x + 400*x^2 + 2496*x^3 + 8256*x^4 + 14208*x^5 + 11648*x^6 + 3712*x^7 + 272*x^8
...
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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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