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A367835
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Expansion of e.g.f. 1/(2 - x - exp(2*x)).
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7
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1, 3, 22, 242, 3544, 64872, 1424976, 36517840, 1069533824, 35240047232, 1290137297152, 51955085596416, 2282489348834304, 108630445541684224, 5567741266098944000, 305752314499878569984, 17909736027185859100672, 1114647522476340562132992
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 2^k * binomial(n,k) * a(n-k).
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MAPLE
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option remember ;
if n = 0 then
1 ;
else
n*procname(n-1)+add(2^k*binomial(n, k)*procname(n-k), k=1..n) ;
end if;
end proc:
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PROG
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(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+sum(j=1, i, 2^j*binomial(i, j)*v[i-j+1])); v;
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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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