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LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 57, 869, 6637, 33111, 124223, 380731, 1004307}, 30] (* Harvey P. Dale, Dec 16 2017 *)
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J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/ldl7.txt">Abstract</a>, <a href="http://neilsloane.com/doc/ldl7Me220.pdf">pdf, <a href="http://neilsloane.com/doc/ldl7.ps">ps</a>).
T. D. Noe, <a href="/A008390/b008390.txt">Table of n, a(n) for n = 0..1000</a>
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<a href="/index/Cor#crystal_ball">Index entries for crystal ball sequences</a>
<a href="/index/Cor#crystal_ball">Index entries for crystal ball sequences</a>
<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
a(n) = 143/210*n^7+143/60*n^6+451/60*n^5+77/6*n^4+937/60*n^3+707/60*n^2+363/70*n+1. - _T. D. Noe, _, Apr 29 2007
G.f.: (1+x)*(1+48*x+393*x^2+832*x^3+393*x^4+48*x^5+x^6)/(1-x)^8. - _Colin Barker, _, Mar 16 2012
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N. J. A. Sloane and _J. H. Conway (conway(AT)math.princeton.edu)_
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://www.research.attneilsloane.com/~njas/doc/ldl7.txtwww.research.attneilsloane.com/~njas/doc/ldl7.pdfwww.research.attneilsloane.com/~njas/doc/ldl7.ps
_N. J. A. Sloane (njas(AT)research.att.com) _ and J. H. Conway (conway(AT)math.princeton.edu)
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