Question

1/16如何化成埃及分数？

Answer 1

化成三个埃及分数的和，有118个方案：
1/16 = 17+1/273+1/74256
1/16 = 1/17+1/274+1/37264
1/16 = 1/17+1/276+1/18768
1/16 = 1/17+1/280+1/9520
1/16 = 1/17+1/288+1/4896
1/16 = 1/17+1/289+1/4624
1/16 = 1/17+1/304+1/2584
1/16 = 1/17+1/306+1/2448
1/16 = 1/17+1/336+1/1428
1/16 = 1/17+1/340+1/1360
1/16 = 1/17+1/400+1/850
1/16 = 1/17+1/408+1/816
1/16 = 1/17+1/528+1/561
1/16 = 1/18+1/145+1/20880
1/16 = 1/18+1/146+1/10512
1/16 = 1/18+1/147+1/7056
1/16 = 1/18+1/148+1/5328
1/16 = 1/18+1/150+1/3600
1/16 = 1/18+1/152+1/2736
1/16 = 1/18+1/153+1/2448
1/16 = 1/18+1/156+1/1872
1/16 = 1/18+1/160+1/1440
1/16 = 1/18+1/162+1/1296
1/16 = 1/18+1/168+1/1008
1/16 = 1/18+1/171+1/912
1/16 = 1/18+1/176+1/792
1/16 = 1/18+1/180+1/720
1/16 = 1/18+1/192+1/576
1/16 = 1/18+1/198+1/528
1/16 = 1/18+1/208+1/468
1/16 = 1/18+1/216+1/432
1/16 = 1/18+1/225+1/400
1/16 = 1/18+1/240+1/360
1/16 = 1/18+1/252+1/336
1/16 = 1/18+1/272+1/306
1/16 = 1/19+1/102+1/15504
1/16 = 1/19+1/104+1/3952
1/16 = 1/19+1/112+1/1064
1/16 = 1/19+1/114+1/912
1/16 = 1/19+1/144+1/342
1/16 = 1/19+1/152+1/304
1/16 = 1/20+1/81+1/16480
1/16 = 1/20+1/82+1/3280
1/16 = 1/20+1/84+1/1680
1/16 = 1/20+1/85+1/1360
1/16 = 1/20+1/88+1/880
1/16 = 1/20+1/90+1/720
1/16 = 1/20+1/96+1/480
1/16 = 1/20+1/100+1/400
1/16 = 1/20+1/105+1/336
1/16 = 1/20+1/112+1/280
1/16 = 1/20+1/120+1/240
1/16 = 1/20+1/130+1/208
1/16 = 1/20+1/144+1/180
1/16 = 1/21+1/168+1/5712
1/16 = 1/21+1/169+1/2576
1/16 = 1/21+1/70+1/1680
1/16 = 1/21+1/72+1/1008
1/16 = 1/21+1/77+1/528
1/16 = 1/21+1/80+1/420
1/16 = 1/21+1/84+1/336
1/16 = 1/21+1/96+1/224
1/16 = 1/21+1/112+1/168
1/16 = 1/21+1/126+1/144
1/16 = 1/22+1/59+1/10384
1/16 = 1/22+1/160+1/2640
1/16 = 1/22+1/164+1/704
1/16 = 1/22+1/166+1/528
1/16 = 1/22+1/80+1/220
1/16 = 1/22+1/88+1/176
1/16 = 1/22+1/99+1/144
1/16 = 1/24+1/49+1/2352
1/16 = 1/24+1/50+1/1200
1/16 = 1/24+1/51+1/816
1/16 = 1/24+1/52+1/1624
1/16 = 1/24+1/54+1/432
1/16 = 1/24+1/56+1/336
1/16 = 1/24+1/57+1/304
1/16 = 1/24+1/160+1/240
1/16 = 1/24+1/164+1/192
1/16 = 1/24+1/166+1/176
1/16 = 1/24+1/72+1/144
1/16 = 1/24+1/80+1/120
1/16 = 1/24+1/84+1/112
1/16 = 1/25+1/45+1/3600
1/16 = 1/25+1/48+1/1600
1/16 = 1/25+1/50+1/400
1/16 = 1/25+1/80+1/100
1/16 = 1/26+1/42+1/4368
1/16 = 1/26+1/48+1/312
1/16 = 1/26+1/52+1/208
1/16 = 1/27+1/40+1/2160
1/16 = 1/27+1/48+1/216
1/16 = 1/27+1/54+1/144
1/16 = 1/28+1/38+1/2128
1/16 = 1/28+1/40+1/560
1/16 = 1/28+1/42+1/336
1/16 = 1/28+1/48+1/168
1/16 = 1/28+1/56+1/112
1/16 = 1/28+1/70+1/80
1/16 = 1/29+1/36+1/4176
1/16 = 1/30+1/35+1/1680
1/16 = 1/30+1/36+1/720
1/16 = 1/30+1/40+1/240
1/16 = 1/30+1/45+1/144
1/16 = 1/30+1/48+1/120
1/16 = 1/30+1/160+1/80
1/16 = 1/32+1/33+1/1056
1/16 = 1/32+1/34+1/544
1/16 = 1/32+1/36+1/288
1/16 = 1/32+1/40+1/160
1/16 = 1/32+1/48+1/96
1/16 = 1/33+1/48+1/88
1/16 = 1/35+1/40+1/112
1/16 = 1/36+1/45+1/80
1/16 = 1/36+1/48+1/72
1/16 = 1/40+1/48+1/160
1/16 = 1/42+1/48+1/56