A083451 (n concatenated n times) - n^n.

0, 18, 306, 4188, 52430, 620010, 6954234, 72111672, 612579510, 10101010091010101010, 1111111110825799440500, 121212121203205111672956, 13131313131010256206539060, 1414141414130302134588583398

Offset

1,2

Comments

Amarnath Murthy conjectured that all terms are positive for n>1. This is true. Consider the number of digits. There are n*ceiling(log_10(n+1)) digits in the concatenation, but only log_10(n^n)=n*log_10(n) in n^n. Therefore the terms are never negative. - Hauke Worpel (hw1(AT)email.com), Jun 03 2003

Links

Harvey P. Dale, Table of n, a(n) for n = 1..300

Formula

a(n) = A000461(n)-A000312(n). - David Wasserman, Nov 10 2004

Example

a(4) = 4444 - 4^4 = 4188.

Mathematica

Table[FromDigits[Flatten[IntegerDigits/@PadRight[{}, n, n]]]-n^n, {n, 15}] (* Harvey P. Dale, Mar 25 2012 *)

Crossrefs

Cf. A083452.

Sequence in context: A193317 A161599 A273434 * A162804 A097831 A342885

Adjacent sequences: A083448 A083449 A083450 * A083452 A083453 A083454

Keyword

base,nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 01 2003

Extensions

More terms from Hauke Worpel (hw1(AT)email.com), Jun 03 2003

More terms from David Wasserman, Nov 10 2004

Status

approved