A160483 Second right hand column of the Beta triangle A160480

-11, 36, -85, 166, -287, 456, -681, 970, -1331, 1772, -2301, 2926, -3655, 4496, -5457, 6546, -7771, 9140, -10661, 12342, -14191, 16216, -18425, 20826, -23427, 26236, -29261, 32510, -35991, 39712, -43681, 47906, -52395, 57156

Offset

1,1

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) = (-1)^(n)*(2*n+1)^2 - a(n-1) for n = 2, 3, .. , with a(1) = -11.

From Chai Wah Wu, Sep 24 2020: (Start)

a(n) = - 4*a(n-1) - 6*a(n-2) - 4*a(n-3) - a(n-4) for n > 4.

G.f.: x*(-2*x^3 - 7*x^2 - 8*x - 11)/(x + 1)^4. (End)

Crossrefs

A160480 is the Beta triangle.

A160484 is the third right hand column.

Sequence in context: A015246 A093500 A081438 * A034309 A005000 A006505

Adjacent sequences: A160480 A160481 A160482 * A160484 A160485 A160486

Keyword

easy,sign

Author

Johannes W. Meijer, May 24 2009

Status

approved