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Sequence associated with palindromic structures.
1

%I #12 Jan 25 2020 00:42:12

%S 1,3,10,37,150,653,2990,14157,68470,335533,1657470,8227277,40957190,

%T 204250413,1019649550,5093448397,25452860310,127221189293,

%U 635976675230,3179495693517,15896315681830,79478090576173,397379990430510

%N Sequence associated with palindromic structures.

%C Binomial transform of A007581. Second binomial transform of A007051 (with extra leading 1).

%C Hankel transform is := [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...]. - _Philippe Deléham_, Dec 04 2008

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-31,30).

%F G.f.: (1-7x+11x^2)/((1-2x)(1-3x)(1-5x));

%F a(n) = 2^n/3 + 3^n/2 + 5^n/6.

%t LinearRecurrence[{10,-31,30},{1,3,10},30] (* _Harvey P. Dale_, Sep 14 2019 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jul 20 2003