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Search: id:A154420
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| A154420 |
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Maximal coefficient of MacMahon polynomial (cf. A060187) p(x,n)=2^n*(1 - x)^(n + 1)* LerchPhi[x, -n, 1/2]; that is, a(n)=Max(coefficients(p(x,n)) |
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+0
1
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| 1, 1, 6, 23, 230, 1682, 23548, 259723, 4675014, 69413294, 1527092468, 28588019814, 743288515164, 16818059163492, 504541774904760, 13397724585164019, 455522635895576646, 13892023109165902550, 527896878148304296900
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OFFSET
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0,3
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COMMENT
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Since the center is the maximum in the Pascal, Eulerian and MacMahon triangles, a(n)=MacMahon[n,Floor[n/2]]
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MATHEMATICA
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p[x_, n_] = 2^n*(1 - x)^(n + 1)* LerchPhi[x, -n, 1/2];
Table[Max[CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x]], {n, 0, 30}]
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CROSSREFS
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Cf. A060187
Sequence in context: A012468 A013260 A013266 this_sequence A052697 A029592 A112034
Adjacent sequences: A154417 A154418 A154419 this_sequence A154421 A154422 A154423
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 09 2009
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2009
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