

A035539


Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 3)


1



0, 0, 0, 1, 0, 0, 4, 0, 0, 11, 0, 0, 27, 0, 0, 59, 0, 0, 123, 0, 0, 241, 0, 0, 458, 0, 0, 838, 0, 0, 1498, 0, 0, 2608, 0, 0, 4459, 0, 0, 7473, 0, 0, 12339, 0, 0, 20058, 0, 0, 32197, 0, 0, 51027, 0, 0, 80003, 0, 0, 124092, 0, 0, 190683, 0, 0, 290322, 0, 0, 438392, 0, 0, 656681, 0, 0
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OFFSET

0,7


LINKS



MATHEMATICA

equalQ[partit_] := With[{t = Total[Switch[Mod[#, 3], 0, {1, 0, 0}, 1, {0, 1, 0}, 2, {0, 0, 1}]& /@ partit]}, t[[2]] > 0 && t[[2]] == t[[3]]]; a[n_] := If[Mod[n, 3] != 0, 0, Select[IntegerPartitions[n], equalQ] // Length]; a[0] = 0; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 0, 71}] (* JeanFrançois Alcover, Dec 07 2016 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



