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A302235 Triangle T(n,k) of the numbers of k-matchings in the n-hypercube graph (0 <= k <= 2^(n-1)) 3
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Eric W. Weisstein, Table of n, a(n) for n = 1..68

Eric Weisstein's World of Mathematics, Hypercube Graph

Eric Weisstein's World of Mathematics, Matching-Generating Polynomial

EXAMPLE

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

...

CROSSREFS

Row sums are A045310.

Cf. A192437.

Sequence in context: A183158 A174005 A152818 * A242861 A109244 A171650

Adjacent sequences:  A302232 A302233 A302234 * A302236 A302237 A302238

KEYWORD

nonn,tabl

AUTHOR

Eric W. Weisstein, Apr 03 2018

STATUS

approved

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Last modified January 26 20:11 EST 2020. Contains 331288 sequences. (Running on oeis4.)