Isomers of Alkans (CnH2n+2)

Number n of carbon Atoms Isomers of CnH2n+2
1 1
2 1
3 1
4 2
5 3
6 5
7 9
8 18
9 35
10 75
11 159
12 355
13 802
14 1858
15 4347
16 10359
17 24894
18 60523
19 148284
20 366319
21 910726
22 2278658
23 5731580
24 14490245
25 36797588
26 93839412
27 240215803
28 617105614
29 1590507121
30 4111846763
31 10660307791
32 27711253769
33 72214088660
34 188626236139
35 493782952902
36 1295297588128
37 3404490780161
38 8964747474595
39 23647478933969
40 62481801147341
41 165351455535782
42 438242894769226
43 1163169707886427
44 3091461011836856
45 8227162372221203
46 21921834086683418
47 58481806621987010
48 156192366474590639
49 417612400765382272
50 1117743651746953270
51 2994664179967370611
52 8031081780535296591
53 21557771913572630901
54 57919180873148437753
55 155745431857549699124
56 419149571193411829372
57 1128939578361332867936
58 3043043571906827182530
59 8208615366863753915949
60 22158734535770411074184
61 59858097847706865855186
62 161805725349297357221898
63 437671691526158936922623
64 1184616185385310843585573
65 3208285066181475821271463
66 8694130712024868414002815
67 23573796134448175745408811
68 63955159527348138708694312
69 173603007393950249896865875
70 471484798515330363034639871
71 1281151315764638215613845510
72 3482965749140691245110434511
73 9473447386804490449091871124
74 25779306238954404972323916397
75 70183211512214096492433058105
76 191156381393249393027319384769
77 520874195248906781713044332539
78 1419908915343952137338409797325
79 3872282575137005474139119076135
80 10564476906946675106953415600016
81 28833609436277333169440806135431
82 78725585464391037293036629979444
83 215027809474796675607407513633870
84 587531723826577193455385789266377
85 1605913778494711520354663202536756
86 4391002908093323425994602631972445
87 12010257907756938974208750945664835
88 32861295558120887536942123568548502
89 89940959024891576997396491928932689
90 246245150242821439632304475956113295
91 674391606297983432514229725117306224
92 1847515048012613337782670842346319120
93 5062818112121161180862827915688625902
94 13877857529584521384324419956411729295
95 38051836070803837001309074456088423358
96 104363664561059273927704242814298678658
97 286312976836850192359345859166390622180
98 785684759853087702778573182234297830503
99 2156596319845084996862701478402986311496
100 5921072038125809849884993369103538010139

Interested in how to calculate these numbers or want to know how the isomers look like? Then have a look at this article or check out this software. With the software you can determine the number of isomers of CnH2n+2 with more than 1000 carbon atoms, construct them and display them on the screen, or generate them at random.
Back to the LS MATHE II Homepage.
Sascha Kurz, February 2005.