A152100 - OEIS

%I #12 Aug 06 2017 20:35:06

%S 1,14,76,218,472,870,1444,2226,3248,4542,6140,8074,10376,13078,16212,

%T 19810,23904,28526,33708,39482,45880,52934,60676,69138,78352,88350,

%U 99164,110826,123368,136822,151220,166594,182976,200398,218892,238490

%N G.f.: 1 - 2*x*(-7 - 10*x + x^2)/(x - 1)^4.

%H Harvey P. Dale, <a href="/A152100/b152100.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4), n > 4. a(n) = 2*n*(8*n^2 + 12*n + 1)/3, n > 0. - _R. J. Mathar_, Sep 22 2009

%t Join[{1},LinearRecurrence[{4,-6,4,-1},{14,76,218,472},40]] (* _Harvey P. Dale_, Aug 07 2012 *)

%Y Cf. A006071.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Sep 21 2009, based on email from _R. J. Mathar_, Mar 22 2009

%E More terms from _R. J. Mathar_, Sep 22 2009