A020327 Number of partitions of 1/n into 4 reciprocals of positive integers.

14, 108, 339, 694, 1104, 1816, 2021, 3363, 4053, 5370, 4444, 9052, 5205, 11215, 14348, 11334, 7786, 18204, 9859, 29662, 24183, 17889, 12648, 38904, 20559, 24821, 31884, 43698, 16480, 59019, 15409, 43600, 48011, 39273, 79516, 74034, 17029, 42954, 70221

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Links

• Justus Springer, Table of n, a(n) for n = 1..100

Programs

Mathematica

a[n_] := Length@ Solve[1/n == 1/w + 1/x + 1/y + 1/z && 0 < w <= x <= y <= z, {w, x, y, z}, Integers]; (* Robert G. Wilson v, Apr 30 2014 *)