A192108 a(1)=1; for n>1, a(n) = n*(10^(n^2)-1)/9 written in base n.

1, 100010101110, 212020020002101000, 33302203023130111130130130, 142330104010234210234210234210234210, 10225201200453221555314535245115155324023111430, 5152124535261564540656541032335232432112241035404402500510

Offset

1,2

Comments

For n = 2 through 9, this is the decimal number with n^2 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).

This is to A191244 as n^2 is to n.

Links

Table of n, a(n) for n=1..7.

Example

For n=3: form the number with 3^2 = 9 digits all equal to 3, 333333333. This is then converted into base 3, to get 212020020002101000.

Maple

f:=n->n*(10^(n^2)-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)]);
od:

Crossrefs

Cf. A191244.

Sequence in context: A017519 A017651 A072145 * A214702 A164935 A349321

Adjacent sequences: A192105 A192106 A192107 * A192109 A192110 A192111

Keyword

nonn,easy,base

Author

Jonathan Vos Post, Dec 31 2012

Extensions

Edited by N. J. A. Sloane, Jan 05 2013

Status

approved