but seems it's not cleared in documentation that sequence is always same for same seed.

It does, else it wouldn't be the Mersenne Twister.

Update: Results from a 32-bit and a 64-bit build of Perl (on windows):

C:\test>\perl32\bin\perl -MMath::Random::MT=rand,srand -le"srand(1); p
+rint rand(12345) for 1 .. 50"
0.417021998437122 0.99718480813317 0.720324489288032 0.932557361200452
+ 0.000114381080493331
0.128124447772279 0.302332567749545 0.999040515394881 0.14675589255057
+3 0.236088976264
0.0923385955393314 0.39658072614111 0.186260211281478 0.38791074021719
+4 0.345560725079849
0.66974604036659 0.396767468657345 0.935539072612301 0.538816731888801
+ 0.846310918219388
0.419194519054145 0.313273512991145 0.685219500679523 0.52454816270619
+6 0.204452248988673
0.44345289375633 0.878117437008768 0.22957722004503 0.027387595968321 
+0.534413907211274
0.670467507559806 0.913962022401392 0.417304804315791 0.45720480917953
+ 0.558689827332273
0.430698570096865 0.140386936953291 0.939127794932574 0.19810148328542
+7 0.778389235492796
0.800744566367939 0.715970510849729 0.968261571833864 0.80275750323198
+7 0.313424184685573
0.0928008102346212 0.692322616931051 0.518152548233047 0.8763891460839
+66 0.865020245313644

C:\test>\perl64\bin\perl -MMath::Random::MT=rand,srand -le"srand(1); p
+rint rand(12345) for 1 .. 50"
0.417021998437122 0.99718480813317 0.720324489288032 0.932557361200452
+ 0.000114381080493331
0.128124447772279 0.302332567749545 0.999040515394881 0.14675589255057
+3 0.236088976264
0.0923385955393314 0.39658072614111 0.186260211281478 0.38791074021719
+4 0.345560725079849
0.66974604036659 0.396767468657345 0.935539072612301 0.538816731888801
+ 0.846310918219388
0.419194519054145 0.313273512991145 0.685219500679523 0.52454816270619
+6 0.204452248988673
0.44345289375633 0.878117437008768 0.22957722004503 0.027387595968321 
+0.534413907211274
0.670467507559806 0.913962022401392 0.417304804315791 0.45720480917953
+ 0.558689827332273
0.430698570096865 0.140386936953291 0.939127794932574 0.19810148328542
+7 0.778389235492796
0.800744566367939 0.715970510849729 0.968261571833864 0.80275750323198
+7 0.313424184685573
0.0928008102346212 0.692322616931051 0.518152548233047 0.8763891460839
+66 0.865020245313644

[download]

You should get the same everywhere regardless of platform or build.

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.

In reply to Re^3: Predictable random sequence by BrowserUk
in thread Predictable random sequence by vsespb

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