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Expansion of 1/E(q/E(q)) where E(q) = Product_{n>=1} (1 - q^n).
3

%I #11 Nov 11 2017 17:49:52

%S 1,1,3,9,27,79,229,657,1873,5304,14944,41895,116947,325133,900617,

%T 2486183,6841490,18770754,51358188,140154540,381540434,1036261537,

%U 2808328337,7594958401,20499680869,55227373266,148520150761,398726637407,1068701794158,2859956501816,7642086948143,20391083977989,54333644617311

%N Expansion of 1/E(q/E(q)) where E(q) = Product_{n>=1} (1 - q^n).

%C What does this sequence count?

%F G.f.: 1/E(q/E(q)) where E(q) = Product_{n>=1} (1 - q^n).

%o (PARI) q = 'q + O('q^66); Vec( 1/eta(q/eta(q)) )

%Y Cf. A109085: G.f. 1/E(q/E(q/E(q/E(q/E(q/E...))))).

%K nonn

%O 0,3

%A _Joerg Arndt_, Feb 27 2014