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A110759 tau(N), where N = concatenation 1,2,3, upto n then back to 3,2,1. e.g. for n = 4, N = 1234321. +0
5
1, 3, 9, 9, 9, 243, 9, 81, 45, 2, 4, 18, 8, 64, 96, 16, 24, 48, 64, 4 (list; graph; listen)
OFFSET

1,2

COMMENT

First 9 terms are odd as corresponding N are perfect squares.

EXAMPLE

a(3) = tau(12321) = 9.

MAPLE

A055642 := proc(n) 1+floor(log10(n)) ; end; A000005 := proc(n) numtheory[tau](n) ; end ; rep := proc(n) local a ; a := 1 ; for i from 2 to n do a := a*10^A055642(i)+i ; end; for i from n-1 to 1 by -1 do a := a*10^A055642(i)+i ; end; RETURN(a) ; end; A110759 := proc(n) A000005(rep(n)) ; end; for n from 1 to 50 do printf("%d %d ", n, A110759(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 10 2007

CROSSREFS

Cf. A110756, A110757, A110758, A110760.

Sequence in context: A111120 A100401 A004166 this_sequence A063750 A099720 A072404

Adjacent sequences: A110756 A110757 A110758 this_sequence A110760 A110761 A110762

KEYWORD

base,more,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2005

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 10 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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