login
Radon function at even positions: a(n) = A003484(2*n).
6

%I #15 Nov 29 2022 02:42:23

%S 2,4,2,8,2,4,2,9,2,4,2,8,2,4,2,10,2,4,2,8,2,4,2,9,2,4,2,8,2,4,2,12,2,

%T 4,2,8,2,4,2,9,2,4,2,8,2,4,2,10,2,4,2,8,2,4,2,9,2,4,2,8,2,4,2,16,2,4,

%U 2,8,2,4,2,9,2,4,2,8,2,4,2,10,2,4,2,8,2

%N Radon function at even positions: a(n) = A003484(2*n).

%H Reinhard Zumkeller, <a href="/A209675/b209675.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A053381(n-1) + 1.

%F a(n) > 1.

%F a(A005408(n)) = 2; a(A016825(n)) = 4; a(A017113(n)) = 8; a(A051062(n)) = 9.

%F Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = 4/3. - _Amiram Eldar_, Nov 29 2022

%t a[n_] := 8*Floor[(e = IntegerExponent[n, 2] + 1)/4] + 2^Mod[e, 4]; Array[a, 100] (* _Amiram Eldar_, Nov 29 2022 *)

%o (Haskell)

%o a209675 = a003484 . (* 2)

%Y Cf. A003484, A003485, A005408, A016825, A017113, A051062, A053381.

%K nonn,easy

%O 1,1

%A _Reinhard Zumkeller_, Mar 11 2012