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Conjecture: satisfies a linear recurrence having signature (7, -21, 35, -35, 21, -7, 1). - Harvey P. Dale, Jan 23 2019
<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
G.f.: (1+54*x+447*x^2+852*x^3+447*x^4+54*x^5+x^6)/(1-x)^7. [- _Colin Barker, _, Mar 16 2012]
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Conjecture: satisfies a linear recurrence having signature (7, -21, 35, -35, 21, -7, 1). - Harvey P. Dale, Jan 23 2019
CoefficientList[Series[(1+54x+447x^2+852x^3+447x^4+54x^5+x^6)/(1-x)^7, {x, 0, 30}], x] (* Harvey P. Dale, Jan 23 2019 *)
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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="/A008358/b008358.txt">Table of n, a(n) for n = 0..1000</a>
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)