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A005980
Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for
A002835
(solid partitions restricted to two planes) and expand (1-x)*(1-x^2)*(1-x^3)*...*F(x) in powers of x.
5
1, 0, 2, 4, 9, 16, 35, 63, 129, 234, 445, 798, 1458, 2568, 4561, 7924, 13770, 23584, 40301, 68097, 114646, 191336, 317893, 524396, 861054, 1405130, 2282651, 3688254, 5933463, 9499792, 15147223, 24047494, 38030315, 59906474, 94025349
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OFFSET
0,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Table of n, a(n) for n=0..34.
D. E. Knuth,
A Note on Solid Partitions
, Math. Comp. 24, 955-961, 1970.
CROSSREFS
Cf.
A002835
,
A002836
.
Sequence in context:
A131337
A062791
A203320
*
A128093
A056336
A056331
Adjacent sequences:
A005977
A005978
A005979
*
A005981
A005982
A005983
KEYWORD
nonn
,
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AUTHOR
N. J. A. Sloane
EXTENSIONS
a(29)-a(34) from
A002835
by
Martin Fuller
, Jan 27 2026
STATUS
approved