OFFSET

0,4

COMMENTS

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500

EXAMPLE

a(6) counts these 9 partitions of 12: [12], [9,2,1], [3,8,1], [7,4,1], [7,2,3], [5,6,1], [6,3,2,1], [5,4,3], [5,4,1,2]

MATHEMATICA

d[n_] := Select[IntegerPartitions[n], Max[Length /@ Split@#] == 1 &]; p[n_] := p[n] = Select[d[n], Abs[Count[#, _?OddQ] - Count[#, _?EvenQ]] <= 1 &]; t = Table[p[n], {n, 0, 12}]

TableForm[t] (* shows the partitions *)

u = Table[Length[p[2 n]], {n, 0, 40}] (* A239882 *)

(* Peter J. C. Moses, Mar 10 2014 *)

CROSSREFS

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 29 2014

EXTENSIONS

More terms from Alois P. Heinz, Mar 31 2014

STATUS

approved