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A005929 Theta series of hexagonal net with respect to midpoint of edge.
(Formerly M0006)
1

%I M0006

%S 0,2,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,4,0,0,

%T 0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,

%U 0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,4,0,0,0,0,0,4,0

%N Theta series of hexagonal net with respect to midpoint of edge.

%D N. J. A. Sloane, Theta series and magic numbers for diamond and certain ionic crystal structures, J. Math. Phys. 28 (1987), 1653-1657.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%p theta2:=x->add(2*x^((2*n-1)^2/4),n=1..200): phi1:=x->theta2(x^(1/4))*theta2(x^(3/4))/2: seq(coeff(convert(series(phi1(x^4)-phi1(x^12),x,200),polynom),x,n),n=0..200); # Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 28 2008

%K easy,nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 28 2008

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Last modified July 12 06:21 EDT 2020. Contains 335658 sequences. (Running on oeis4.)