A181480 a(n) has generating function 1/((1-x)^k*(1-x^2)^(k*(k-1)/2)) for k=8.

1, 8, 64, 344, 1744, 7400, 29632, 106808, 366088, 1168008, 3570240, 10347864, 28915056, 77493096, 201249216, 505130808, 1233655332, 2927916264, 6784208704, 15338678264, 33950726992, 73557910088, 156378379456, 326236930136, 669101503096, 1349416997864

Offset: 0

Author

Wouter Meeussen, Oct 24 2010

Keywords

• nonn
• easy

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

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Wikipedia, Schur Polynomial

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

Programs

Mathematica

CoefficientList[Series[1/(1-x)^8/(1-x^2)^28,{x,0,25}],x]