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A090809
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Coefficient of the irreducible character of S_m indexed by (m-2n+2,2n-2) in the n-th Kronecker power of the representation indexed by (m-2,2).
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1
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0, 0, 2, 10, 31, 75, 155, 287, 490, 786, 1200, 1760, 2497, 3445, 4641, 6125, 7940, 10132, 12750, 15846, 19475, 23695, 28567, 34155, 40526, 47750, 55900, 65052, 75285, 86681, 99325, 113305, 128712, 145640, 164186, 184450, 206535, 230547
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| A. Goupil, Combinatorics of the Kronecker products of irreducible representations of Sn, in preparation.
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FORMULA
| a(k) = 2*binomial(k, 2)+4*binomial(k, 3)+3*binomial(k, 4).
a(n) = A049020(n, n-2), for n>=2 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 06 2004
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EXAMPLE
| a(7)=21.
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MAPLE
| f := proc(k) 2*binomial(k, 2)+4*binomial(k, 3)+3*binomial(k, 4); end;
Table[(StirlingS2[i+2, i]+(-StirlingS1[i+1, i])), {i, 0, 36}] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 24 2007
with (combinat):a[0]:=0:for n from 1 to 50 do a[n]:=2*a[n-1]-a[n-2]+1 od: seq(a[n]+stirling2(n+2, n), n=-1..36); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 17 2008
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MATHEMATICA
| f[n_] := 2Binomial[n, 2] + 4Binomial[n, 3] + 3Binomial[n, 4]; Table[ f[n], {n, 0, 40}] (from Robert G. Wilson v Feb 13 2004)
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CROSSREFS
| Sequence in context: A192381 A162249 A156492 * A051747 A193008 A024456
Adjacent sequences: A090806 A090807 A090808 * A090810 A090811 A090812
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KEYWORD
| easy,nonn
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AUTHOR
| Alain Goupil (goupil(AT)math.uqam.ca), Feb 10 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 13 2004
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