A374931 Expansion of Sum_{1<=i<=j<=k<=l} q^(i+j+k+l)/( (1-q^i)*(1-q^j)*(1-q^k)*(1-q^l) )^2.

1, 9, 44, 156, 450, 1121, 2508, 5139, 9867, 17831, 30888, 51117, 82212, 127458, 193809, 285702, 415701, 588797, 826803, 1133352, 1545986, 2062203, 2744811, 3579155, 4665375, 5964543, 7638983, 9600392, 12104136, 14992496, 18642996, 22787829, 28006341, 33830697, 41125050, 49183310, 59202486

Offset

4,2

Links

Table of n, a(n) for n=4..40.

Tewodros Amdeberhan, George E. Andrews and Roberto Tauraso, Extensions of MacMahon's sums of divisors, arXiv:2309.03191v1 [math.CO], Sep 06 2023.

Crossrefs

Cf. A374929, A374930.

Cf. A365664.

Sequence in context: A161457 A162212 A161733 * A050486 A267176 A267171

Adjacent sequences: A374928 A374929 A374930 * A374932 A374933 A374934

Keyword

nonn

Author

Seiichi Manyama, Jul 24 2024

Status

approved