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A181480 a(n) has generating function 1/((1-x)^k*(1-x^2)^(k*(k-1)/2)) for k=8. 3
1, 8, 64, 344, 1744, 7400, 29632, 106808, 366088, 1168008, 3570240, 10347864, 28915056, 77493096, 201249216, 505130808, 1233655332, 2927916264, 6784208704, 15338678264, 33950726992, 73557910088, 156378379456, 326236930136 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
a(n-1,k) is conjectured to also be the count of monomials (or terms) in the Schur polynomials of k variables and degree n, summed over all partitions of n in at most k parts (zero-padded to length k).
LINKS
Wikipedia, Schur Polynomial
MATHEMATICA
CoefficientList[Series[1/(1-x)^8/(1-x^2)^28, {x, 0, 16}], x]; see also A181477.
CROSSREFS
For k=2 (two variables): A002620, k=3: A038163, k=4: A054498, k=5: A181477, k=6: A181478, k=7: A181479.
Column k=8 of A210391. - Alois P. Heinz, Mar 22 2012
Sequence in context: A223843 A356703 A267189 * A223948 A224151 A225014
KEYWORD
nonn,easy
AUTHOR
Wouter Meeussen, Oct 24 2010
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)