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

1,1

Links

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

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 *)

Crossrefs

Sequence in context: A099300 A038735 A181378 * A039629 A349296 A205493

Adjacent sequences: A020324 A020325 A020326 * A020328 A020329 A020330

Keyword

nonn

Author

David W. Wilson

Status

approved