A167541 a(n) = -(n - 4)*(n - 5)*(n - 12)/6.

2, 5, 8, 10, 10, 7, 0, -12, -30, -55, -88, -130, -182, -245, -320, -408, -510, -627, -760, -910, -1078, -1265, -1472, -1700, -1950, -2223, -2520, -2842, -3190, -3565, -3968, -4400, -4862, -5355, -5880, -6438, -7030, -7657, -8320, -9020, -9758, -10535, -11352

Offset

6,1

Comments

Essentially the same as A111396.

The coefficient of x^(n-6) of the Polynomial B_n(x) defined in A135929.

Links

Table of n, a(n) for n=6..48.

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).

G.f.: x^6*(2 - 3*x)/(x - 1)^4.

a(n) = -A111396(n-12) for n > 11. - Bruno Berselli, Oct 02 2018

Mathematica

LinearRecurrence[{4, -6, 4, -1}, {2, 5, 8, 10}, 50] (* Harvey P. Dale, May 27 2012 *)

Crossrefs

Cf. A135929, A137276.

Sequence in context: A068702 A083724 A072476 * A078345 A161817 A080228

Adjacent sequences: A167538 A167539 A167540 * A167542 A167543 A167544

Keyword

sign,easy

Author

Jamel Ghanouchi, Nov 06 2009

Extensions

Minor edits by N. J. A. Sloane, Nov 09 2009

Definition simplified, sequence extended by R. J. Mathar, Nov 12 2009

Status

approved