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Bisection of A006950 (the even part).
3

%I #17 Dec 11 2018 12:04:01

%S 1,1,3,5,10,16,28,43,70,105,161,236,350,501,722,1016,1431,1981,2741,

%T 3740,5096,6868,9233,12306,16357,21581,28394,37128,48406,62777,81182,

%U 104494,134131,171467,218607,277691,351841,444314,559727,703002,880896,1100775

%N Bisection of A006950 (the even part).

%C See Zaletel-Mong paper, page 14, FIG. 11: C2a is this sequence, C2b is A233759, C2c is A015128.

%H M. P. Zaletel and R. S. K. Mong, <a href="http://arxiv.org/abs/1208.4862">Exact Matrix Product States for Quantum Hall Wave Functions</a>, arXiv preprint arXiv:1208.4862 [cond-mat.str-el] (2012), 14 (C2a).

%t b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0, b[n, i - 1] + If[i > n, 0, b[n - i, i - Mod[i, 2]]]]];

%t a[n_] := b[2 n - 2, 2 n - 2];

%t Table[a[n], {n, 1, 42}] (* _Jean-François Alcover_, Dec 11 2018, after _Alois P. Heinz_ in A006950 *)

%Y Cf. A000009, A015128, A006950, A069910, A069911, A195825, A195836, A211970, A233759.

%K nonn

%O 1,3

%A _Omar E. Pol_, Jan 11 2014