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A189887
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Dimension of homogeneous component of degree n in x in the Malcev-Poisson superalgebra S^tilde(M).
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0
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1, 1, 2, 3, 4, 6, 9, 11, 12, 14, 17, 19, 20, 22, 25, 27, 28, 30, 33, 35, 36, 38, 41, 43, 44, 46, 49, 51, 52, 54, 57, 59, 60, 62, 65, 67, 68, 70, 73, 75, 76, 78, 81, 83, 84, 86, 89, 91, 92, 94, 97, 99, 100, 102, 105, 107, 108, 110, 113, 115, 116, 118, 121, 123, 124, 126, 129, 131, 132, 134, 137, 139, 140, 142, 145, 147, 148, 150, 153, 155
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OFFSET
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1,3
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REFERENCES
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Shestakov, Ivan; and Zhukavets, Natalia; The Malcev Poisson superalgebra of the free Malcev superalgebra on one odd generator. J. Algebra Appl. 5 (2006), 521-535.
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LINKS
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FORMULA
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See Maple code.
a(n) = (1/4+i/4)*((-11+11*i)-i*(-i)^n+i^n)+2*n for n>3, where i=sqrt(-1). a(n) = 2*a(n-1)-2*a(n-2)+2*a(n-3)-a(n-4) for n>7. G.f.: x*(x^6+x^5+x^4-x^3+2*x^2-x+1) / ((x-1)^2*(x^2+1)). - Colin Barker, Jul 24 2013
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MAPLE
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f:=proc(n) local k, r;
if n <= 2 then 1 elif n=3 then 2
else k:=floor(n/4); r:=n-4*k;
if r=0 then 8*k-5 elif r=1 then 8*k-4 elif r=2 then 8*k-2 else 8*k+1; fi;
fi;
end;
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CROSSREFS
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Apart from initial terms, same as A047415.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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