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A165676 Fourth right hand column of triangle A165674 +0
5
50, 154, 342, 638, 1066, 1650, 2414, 3382, 4578, 6026, 7750, 9774, 12122, 14818, 17886, 21350, 25234, 29562, 34358, 39646, 45450, 51794, 58702, 66198, 74306, 83050, 92454, 102542, 113338, 124866, 137150, 150214, 164082, 178778 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

FORMULA

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4)

a(n) = 6 + 22*n + 18*n^2 + 4*n^3

Gf(z) = (0*z^5 - 6*z^4 + 26*z^3 - 46*z^2 + 50*z)/(z-1)^4

CROSSREFS

Cf. A165674, A007318, A028421, A126671.

Sequence in context: A104152 A044382 A044763 this_sequence A160783 A085445 A048511

Adjacent sequences: A165673 A165674 A165675 this_sequence A165677 A165678 A165679

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 05 2009

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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