A165676 Fourth right hand column of triangle A165674

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

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..34.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

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 * A160783 A085445 A048511

Adjacent sequences: A165673 A165674 A165675 * A165677 A165678 A165679

Keyword

easy,nonn

Author

Johannes W. Meijer, Oct 05 2009

Status

approved