|
Search: id:A033461
|
|
|
| A033461 |
|
Expansion of (1+x)(1+x^4)(1+x^9)... |
|
+0
12
|
|
| 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 3, 1, 1, 4, 3, 0, 1, 2, 2, 1, 0, 1, 4, 3, 0, 2, 4, 2, 1, 3, 2, 1, 2, 3, 3, 2, 1, 3, 6, 3, 0, 2, 5, 3, 0, 1, 3, 3, 3, 4
(list; graph; listen)
|
|
|
OFFSET
|
0,26
|
|
|
COMMENT
|
"WEIGH" transform of squares A000290.
Also number of partitions of n into distinct squares. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 21 2003
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 0..1000
|
|
FORMULA
|
G.f.: prod (1+x^n^2), n=1, inf.
|
|
MATHEMATICA
|
nn=10; CoefficientList[Series[Product[(1+x^(k*k)), {k, nn}], {x, 0, nn*nn}], x] - T. D. Noe (noe(AT)sspectra.com), Jul 24 2006
|
|
PROGRAM
|
(PARI) a(n)=polcoeff(prod(k=1, sqrt(n), 1+x^k^2), n)
|
|
CROSSREFS
|
Cf. A003995, A001422.
Sequence in context: A113406 A134015 A151851 this_sequence A143432 A137677 A015818
Adjacent sequences: A033458 A033459 A033460 this_sequence A033462 A033463 A033464
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Michael Somos
|
|
|
Search completed in 0.002 seconds
|
