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A006718
Number of golygons of length 8n.
(Formerly M3707)
3
1, 4, 112, 8432, 909288, 121106960, 18167084064, 2956370702688, 510696155882492, 92343039606440064, 17311893232788414400, 3342127071364266721200, 661066887819006986788620, 133456726466163517072371360
OFFSET
0,2
COMMENTS
A007219 is the main entry for golygons.
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
I. Vardi, Computational Recreations in Mathematica. Addison-Wesley, Redwood City, CA, 1991, p. 92.
LINKS
Eric Weisstein's World of Mathematics, Golygon
FORMULA
a(n) = 4 * A007219(n) for n > 0. - Charles R Greathouse IV, Apr 29 2012
a(n) = A060468(n) * A292476(2*n) = A063865(4*n) * A292476(2*n). - Seiichi Manyama, Sep 18 2017
MATHEMATICA
p1[n_] := Product[x^k + 1, {k, 1, n - 1, 2}] // Expand; p2[n_] := Product[x^k + 1, {k, 1, n/2}] // Expand; c[n_] := Coefficient[p1[n], x, n^2/8] * Coefficient[p2[n], x, n (n/2 + 1)/8]; a[n_] := c[8*n]; Table[a[n], {n, 0, 11}] (* Jean-François Alcover, Jul 24 2013, after Eric W. Weisstein *)
CROSSREFS
See A007219 for much more information about golygons.
Sequence in context: A361543 A221625 A013151 * A185320 A293158 A196458
KEYWORD
nonn
EXTENSIONS
a(0) = 1 prepended by Seiichi Manyama, Sep 18 2017
STATUS
approved