OFFSET
1,2
FORMULA
a(n)=[r]*[2r]*[3r]*...[nr], where r=(1+sqrt(5))/2 and []=floor.
a(n) ~ c * r^n * n! / n^(1/(2*r)), where c = 0.7044932... and r = A001622 is the golden ratio. - Vaclav Kotesovec, Aug 19 2024
EXAMPLE
a(n)=1*3*12*72*...*floor(r*n), where r = golden ratio.
MATHEMATICA
a[n_]:=Floor[n*(1+5^(1/2))/2];
f[n_]:=Product[a[i], {i, n}];
Table[f[n], {n, 1, 25}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 22 2011
STATUS
approved