A055476 Powers of ten written in base 5.

1, 20, 400, 13000, 310000, 11200000, 224000000, 10030000000, 201100000000, 4022000000000, 130440000000000, 3114300000000000, 112341000000000000, 2302320000000000000, 101101400000000000000, 2022033000000000000000

Offset: 0

Author

Henry Bottomley, Jun 27 2000

Keywords

• base
• easy
• nonn

Comments

The leading numbers free of the trailing end 0's in the entries of sequence a(n) are the corresponding powers of 2 written in base 5, i.e., A000866(n). - Lekraj Beedassy, Oct 26 2010

The first formula follows from the fact that the quinary representation of 10^n - 1 is equal to the concatenation of the quinary representation of 2^n - 1 with four times the n-th repunit; so the successor 10^n is the concatenation of 2^n with n zeros. See the Regan link. - Washington Bomfim, Dec 24 2010

Links

• Rick Regan, Nines in quinary

Crossrefs

Cf. A000468, A011557.

Programs

Mathematica

FromDigits[IntegerDigits[#,5]]&/@(10^Range[0,20]) (* Harvey P. Dale, Feb 03 2019 *)

Formula

a(n) = A000866(n) followed by n zeros.

Extensions

More terms from James Sellers, Jul 04 2000