A065004 100 written in base n, or -1 if the representation requires digits outside of 0 to 9.

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, 1100100, 10201, 1210, 400, 244, 202, 144, 121, 100, 91, 84, 79, 72, -1, 64, -1, -1, 55, 50, -1, -1, 48, 44, 40, -1, -1, -1, -1, -1, 37, 34, 31, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 28, 26, 24, 22, 20, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10

Offset

1,1

Comments

The term 111....1111 should officially be called the "unary expansion", since in base 1 only the digit 0 may appear.

Terms exist for some bases up to 100. - T. D. Noe, Mar 09 2012

Links

Table of n, a(n) for n=1..100.

Mathematica

Table[s = IntegerDigits[100, n]; If[Max[s] > 9, -1, FromDigits[s]], {n, 2, 100}] (* T. D. Noe, Mar 09 2012 *)

Crossrefs

Cf. A065147, A208090 (100 in base -n).

Sequence in context: A095586 A095588 A095590 * A095592 A095594 A095596

Adjacent sequences: A065001 A065002 A065003 * A065005 A065006 A065007

Keyword

base,less,sign,fini,full

Author

Bodo Zinser, Nov 19 2001

Extensions

Extended by T. D. Noe, Mar 09 2012

Title clarified by Sean A. Irvine, Aug 15 2021

Status

approved