A202481 - OEIS

%I #21 Mar 20 2023 13:51:12

%S 1,10,55,231,833,2720,8280,23920,66352,178176,465920,1191680,2991360,

%T 7389184,17999872,43315200,103116800,243138560,568393728,1318518784,

%U 3037265920,6952058880,15820390400,35809918976,80659611648

%N Column k = 3 of triangular array in A165241.

%H Vincenzo Librandi, <a href="/A202481/b202481.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 (8,-24,32,-16).

%F G.f.: (1+2x-x^2-x^3+x^4)/(1-2x)^4.

%F a(n) = A165241(n+3,3).

%F a(n) = 2^n*(n+3)*(3*n+2)*(3*n+5)/32 for n>0. - _Bruno Berselli_, Dec 21 2011

%t LinearRecurrence[{8,-24,32,-16},{1,10,55,231,833},30] (* _Harvey P. Dale_, Dec 04 2018 *)

%Y Cf. A011782, A084858, A165241, A202480

%K nonn,easy

%O 0,2

%A _Philippe Deléham_, Dec 20 2011