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A227597
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Number of lattice paths from {n}^6 to {0}^6 using steps that decrement one component such that for each point (p_1,p_2,...,p_6) we have p_1<=p_2<=...<=p_6.
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2
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1, 1, 429, 750325, 3086989927, 22228291051255, 237791136700913751, 3418868469576233694591, 61845760669881132413037769, 1344481798162876850603732892817, 33976468300798036566458244068649205, 973569246761047672746215294808240044853
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OFFSET
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0,3
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LINKS
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FORMULA
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Conjecture: a(n) ~ 5 * 7^(6*n+29) / (2^58 * 3^8 * Pi^(5/2) * n^(35/2)). - Vaclav Kotesovec, Nov 20 2016
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MAPLE
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b:= proc(l) option remember; `if`(l[-1]=0, 1, add(add(b(subsop(
i=j, l)), j=`if`(i=1, 0, l[i-1])..l[i]-1), i=1..nops(l)))
end:
a:= n-> `if`(n=0, 1, b([n$6])):
seq(a(n), n=0..13);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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