A191244 a(1)=1; for n>1, a(n) = n*(10^n-1)/9 written in base n.

1, 10110, 110100, 1011130, 3234210, 22142230, 123052510, 523053070, 2520607100, 11111111110, 479110292610, 19641010776330, 80101410369310, 210510130141118110, 1212103125891481260, 315281211715711270, 12138214138151315710, 56015814091312161590, 1780471401817161317410, 6151213981715112481715110

Offset: 1

Author

Ruskin Harding, Dec 30 2012

Keywords

• nonn
• base

Comments

For n = 2 through 9, this is the decimal number with n digits all equal to n, then written in base n. For n>9 the reader has to separate the "digits" himself (so this is a fairly unsatisfactory sequence).

A000461(n) written in base n.

Examples

			4444 in base 4 is 1011130.
		

Programs

Maple

f:=n->n*(10^n-1)/9;
g:=n->convert(f(n),base,n);
for n from 2 to 20 do
t1:=g(n);
t2:=nops(t1);
lprint( [seq(t1[t2+1-i],i=1..t2)]);

Mathematica

Join[{1}, Table[s = FromDigits[Table[n, {n}]]; FromDigits[IntegerDigits[s, n]], {n, 2, 9}]] (* T. D. Noe, Dec 30 2012 *)

Extensions

Edited with Maple program by N. J. A. Sloane, Jan 05 2013