A172145 Smallest Fibonacci numbers with Factor 3^n.

1, 3, 144, 14930352, 16641027750620563662096, 23041483585524168262220906489642018075101617466780496790573690289968, 61164766314391710035884829815943265224568052927769577329622759945237346639032672167677108820397521093126336764093707189513015791230614183821533954756601790054548991800671186110593262317807192235925106064

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Nov 19 2010

Keywords

• nonn

Examples

			f(1) = 3^0 = 1,
f(4) = 3^1 = 3,
f(12) = 2^4*3^2 = 144,
f(36) = 2^4*3^3*17*19*107 = 14930352,
f(108) = 2^4*3^4*17*19*53*107*109*5779*11128427,
f(324) = 2^4*3^5*17*19*53*107*109*2269*..,
f(972) = 2^4*3^6*17*19*53*107*109*2269*..., ..
		

Crossrefs

Cf. A000045.

Programs

Mathematica

lst={1};k=4;Do[AppendTo[lst,Fibonacci[k]];k*=3,{n,7}];lst