A131547 Least power of 3 having exactly n consecutive 6's in its decimal representation.

8, 33, 34, 275, 1385, 539, 8881, 22792, 90785, 107188, 704996, 1847533, 5756980, 9995031, 68353788

Offset: 1

Author

Shyam Sunder Gupta, Aug 26 2007

Keywords

• more
• nonn
• base

Examples

			a(3)=34 because 3^34(i.e. 16677181699666569) is the smallest power of 3 to contain a run of 3 consecutive sixes in its decimal form.
		

Crossrefs

Cf. A195269, A131552, A131551, A131550, A131549, A131548, A131546, A131545, A131544.

Programs

Mathematica

a = ""; Do[ a = StringJoin[a, "6"]; b = StringJoin[a, "6"]; k = 1; While[ StringPosition[ ToString[3^k], a] == {} || StringPosition[ ToString[3^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ]

Extensions

a(11)-a(14) from Lars Blomberg, Feb 02 2013

a(15) from Bert Dobbelaere, Mar 04 2019