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A341255
Let f(n) = floor(r*floor(r*n)) = A341254(n), where r = (2 + sqrt(5))/2. Let a(1) = 1. Then a(n) = f(a(n-1)) for n >= 2.
2
1, 4, 16, 69, 309, 1385, 6212, 27866, 125008, 560793, 2515754, 11285842, 50629052, 227125366, 1018899829, 4570853893, 20505161277, 91987547377, 412662390616, 1851231536059, 8304750512850, 37255675336820, 167131492108634, 749763234780300, 3363488838254558
OFFSET
1,2
MATHEMATICA
z = 40; u = GoldenRatio;
r = u + 1/2; f[x_] := Floor[r*Floor[r*x]];
Table[f[n], {n, 1, z}] (* A341254 *)
a[1] = 1; a[n_] := f[a[n - 1]];
Table[a[n], {n, 1, z}] (* A341255 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Feb 13 2021
STATUS
approved