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A165678
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Sixth right hand column of triangle A165674.
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4
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1764, 8028, 24552, 60216, 127860, 245004, 434568, 725592, 1153956, 1763100, 2604744, 3739608, 5238132, 7181196, 9660840, 12780984, 16658148, 21422172, 27216936, 34201080, 42548724, 52450188, 64112712, 77761176, 93638820
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OFFSET
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1,1
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COMMENTS
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The recurrence relation leads to Pascal's triangle A007318, the a(n) formula to Wiggen's triangle A028421 and the o.g.f to Wood's polynomials A126671; see A165674.
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LINKS
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FORMULA
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a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).
a(n) = 120 + 548*n + 675*n^2 + 340*n^3 + 75*n^4 + 6*n^5.
Gf(z) = (0*z^7 - 120*z^6 + 744*z^5 - 1956*z^4 + 2844*z^3 - 2556*z^2 + 1764*z )/(z-1)^6.
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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