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A020327 Number of partitions of 1/n into 4 reciprocals of positive integers. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..39.

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 A205493 A074886

Adjacent sequences:  A020324 A020325 A020326 * A020328 A020329 A020330

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified March 26 16:31 EDT 2017. Contains 284137 sequences.