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Bisection of A006950 (the odd part).
3

%I #19 Dec 11 2018 12:03:54

%S 1,2,4,7,13,21,35,55,86,130,196,287,420,602,858,1206,1687,2331,3206,

%T 4368,5922,7967,10670,14193,18803,24766,32490,42411,55159,71416,92152,

%U 118434,151725,193676,246491,312677,395537,498852,627509,787171,985043,1229494

%N Bisection of A006950 (the odd part).

%C See Zaletel-Mong paper, page 14, FIG. 11: C2a is A233758, C2b is this sequence, 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 (C2b).

%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 - 1, 2 n - 1];

%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, A233758.

%K nonn

%O 1,2

%A _Omar E. Pol_, Jan 11 2014