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a(n) = binomial(n, floor(n/4)).
9

%I #22 Jul 31 2023 09:33:45

%S 1,1,1,1,4,5,6,7,28,36,45,55,220,286,364,455,1820,2380,3060,3876,

%T 15504,20349,26334,33649,134596,177100,230230,296010,1184040,1560780,

%U 2035800,2629575,10518300,13884156,18156204,23535820,94143280,124403620

%N a(n) = binomial(n, floor(n/4)).

%H Seiichi Manyama, <a href="/A051036/b051036.txt">Table of n, a(n) for n = 0..1000</a>

%t a[n_] := Binomial[n, Floor[n/4]]; Array[a, 50, 0] (* _Enrique PĂ©rez Herrero_, Mar 06 2012 *)

%o (Python)

%o from math import comb

%o def A051036(n): return comb(n,n>>2) # _Chai Wah Wu_, Feb 02 2023

%Y Cf. A001405, A051033, A051052, A051053, A062947.

%K nonn,easy

%O 0,5

%A _N. J. A. Sloane_