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

0,2

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

Table of n, a(n) for n=0..15.

Rick Regan, Nines in quinary

Formula

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

Mathematica

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

Crossrefs

Cf. A000468, A011557.

Sequence in context: A048987 A006494 A007545 * A223180 A041181 A041762

Adjacent sequences: A055473 A055474 A055475 * A055477 A055478 A055479

Keyword

base,easy,nonn

Author

Henry Bottomley, Jun 27 2000

Extensions

More terms from James A. Sellers, Jul 04 2000

Status

approved