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%I #9 Feb 01 2019 12:01:07
%S 1,0,4,2,12,12,34,40,85,108,190,250,394,516,762,984,1385,1764,2396,
%T 2998,3966,4886,6316,7684,9739,11706,14594,17358,21320,25134,30470,
%U 35618,42697,49532,58770,67724,79622,91172,106326,121048,140117,158692,182452,205624
%N Number of ways of having a total of n coins in your two pockets (each of them either a penny, a nickel, a dime, or a quarter), so that the amounts in the pockets are identical.
%H Alois P. Heinz, <a href="/A323825/b323825.txt">Table of n, a(n) for n = 0..10000</a>
%H Shalosh B. Ekhad and Doron Zeilberger, <a href="https://arxiv.org/abs/1901.08172">In How many ways can I carry a total of n coins in my two pockets, and have the same amount in both pockets?</a>, arXiv:1901.08172 [math.CO], 2019.
%F Ekhad-Zeilberger (2019) gives a g.f.
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Feb 01 2019
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