OFFSET
0,2
COMMENTS
Equals row sums (unsigned) of triangle A158472. - Gary W. Adamson, Mar 20 2009
FORMULA
a(n) ~ f * C * ((1+sqrt(5))/2)^(n*(n+1)/2) / 5^(n/2), where C = A062073 = 1.2267420107203532444176302304553616558714096904402504196432973... is the Fibonacci factorial constant and f = Product_{k>=1} (1 + 1/Fibonacci(k)) = 13.150966657784184367612433370626658932190199543164284701354100747157698046... . - Vaclav Kotesovec, Jul 19 2015
Equals the obverse convolution of A000012 and A000045; see A374848. a(n) = (F(n)+1)*a(n-1) for n>=1, where F(n) = A000045(n) = n-th Fibonacci number. - Clark Kimberling, Aug 05 2024
MAPLE
with(combinat): a:= n->mul(fibonacci(j)+1, j=0..n): seq(a(n), n=0..20); # Zerinvary Lajos, Mar 29 2009
MATHEMATICA
Table[Product[Fibonacci[k]+1, {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jul 19 2015 *)
PROG
(PARI) a(n)=prod(k=1, n, fibonacci(k)+1)
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Apr 27 2003
STATUS
approved