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A165678 Sixth right hand column of triangle A165674 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..25.

FORMULA

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

CROSSREFS

Cf. A165674, A007318, A028421, A126671.

Sequence in context: A141039 A205731 A151769 * A205912 A205904 A061627

Adjacent sequences:  A165675 A165676 A165677 * A165679 A165680 A165681

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Oct 05 2009

STATUS

approved

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Last modified May 19 00:29 EDT 2013. Contains 225428 sequences.