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Search: id:A083451
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| A083451 |
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(n concatenated n times) - n^n. |
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+0
2
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| 0, 18, 306, 4188, 52430, 620010, 6954234, 72111672, 612579510, 10101010091010101010, 1111111110825799440500, 121212121203205111672956, 13131313131010256206539060, 1414141414130302134588583398
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OFFSET
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1,2
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COMMENT
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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
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FORMULA
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a(n) = A000461(n)-A000312(n). - David Wasserman (wasserma(AT)spawar.navy.mil), Nov 10 2004
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EXAMPLE
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a(4) = 4444 - 4^4 = 4188.
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CROSSREFS
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Cf. A083452.
Sequence in context: A166927 A113367 A161599 this_sequence A097831 A091045 A158532
Adjacent sequences: A083448 A083449 A083450 this_sequence A083452 A083453 A083454
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 01 2003
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EXTENSIONS
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More terms from Hauke Worpel (hw1(AT)email.com), Jun 03 2003
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Nov 10 2004
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