The first 36 terms of A052456.
(Terms 0 through 36, to be precise)

From two sources:
1. 32 terms of A052456, sent by Walter Trump (w(AT)trump.de), Jan 21 2005
See his web site
http://www.trump.de/magic-squares
for further details.

2. 36 terms from Henry Bottomley's web page
http://www.btinternet.com/~se16/js/partitionstest.htm

1,
1,
2,
8,
86,
1394,
32134,
957332,
35154340,
1537408202,
78132541528,
4528684996756,
295011186006282,
21345627856836734,
1698954263159544138,
147553846727480002824,
13888244935445960871352,
1408407905312396429259944,
153105374581396386625831530,
17762616557326928950637660912,
2190684864446863915195866500356,
286221079001041327793634043938470,
39493409270082248457567923104977298,
5739019677324553608481368828138484550,
876085202984795348523051418634128837562,
140170526450793924490478768121814869629364,
23456461153390020211328759135664689342531028,
4097641100787806775815644958425464097739938654,
745947846718066619823209422870621836022069177558,
141280774936453250057100993123755087750662375504136,
27797610141981037322555479186167243505129073097363174,
5673858009208148397135070998960708533898456476297052346,
1199872454897380013845796517790093662180055383301098878668

33 262575529501655719245725510596713937964488091566840353740484
34 59394620657532913580290882324816355506080733247883160869518486
35 13872534241478210358349096341203128450357241660871429860873721318
36 3342339793871651580291139212736788281034702731706602993356140483430