A131443 Numerators of n-th approximation of factorial (also called harmonic) expansion of the golden section phi:=(1+sqrt(5))/2.

1, 3, 3, 19, 97, 97, 453, 65239, 36697, 5871521, 3075559, 775040869, 10075531303, 10075531303, 2115861573641, 2115861573641, 22135167231937, 941750751322411, 39365181405276781, 3936518140527678109

Offset: 1

Author

Wolfdieter Lang, Aug 07 2007

Keywords

• nonn
• frac
• easy

Comments

Denominators are given in A131444. Rationals in lowest terms.

Examples

			Rationals r(n):[1, 3/2, 3/2, 19/12, 97/60, 97/60, 453/280, 65239/40320, ...].
		

Links

• W. Lang, Rationals and values.

Formula

a(n)=numerator(r(n)), with r(n):=sum(b(k)/k!,n=1..n) with b(k):=A068451(k ) (factorial expansion of phi).