A374864 - OEIS

%I #10 Aug 28 2024 10:57:31

%S 1,3,18,144,1584,22176,354816,6741504,141571584,3397718016,

%T 91738386432,2660413206528,85133222608896,2979662791311360,

%U 110247523278520320,4409900931140812800,185215839107914137600,8334712759856136192000,400066212473094537216000

%N Obverse convolution (1)**A001950; see Comments.

%C See A374848 for the definition of obverse convolution and a guide to related sequences. a(n+1)/a(n) is an integer for n>=0, so (a(n)) is a divisibility sequence.

%F a(n) = Product_{k=0..n} A026352(k).

%t r = GoldenRatio;

%t s[n_] := 1; t[n_] := Floor[n*r^2];

%t u[n_] := Product[s[k] + t[n - k], {k, 0, n}]

%t Table[u[n], {n, 0, 20}]

%Y Cf. A000012, A000201, A001622, A026352, A374848.

%K nonn

%O 0,2

%A _Clark Kimberling_, Aug 18 2024