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A130878 Inverse Moebius transform of A100107. +0
1
1, 5, 6, 16, 13, 36, 31, 74, 87, 155, 201, 402, 523, 911, 1398, 2339, 3573, 5997, 9351, 15438, 24546, 40011, 64081, 104544, 167786, 272495, 439372, 712452, 1149853, 1863588, 3010351, 4875451, 7881606, 12759195, 20633323, 33397854, 54018523 (list; graph; listen)
OFFSET

1,2

COMMENT

Or, the inverse Moebius transform of the inverse Moebius transform of the Lucas numbers A000032.

FORMULA

a(n)= sum[d|n] A100107(d).

MAPLE

A000032 := proc(n) option remember; if n =0 then 2; elif n = 1 then 1; else A000032(n-1)+A000032(n-2) ; fi ; end: A100107 := proc(n) option remember ; local a, dvs, d ; a := 0: dvs := numtheory[divisors](n) ; for d in dvs do a := a+ A000032(d) ; od: RETURN(a) ; end: a := proc(n) local a, dvs, d ; a := 0: dvs := numtheory[divisors](n) ; for d in dvs do a := a+ A100107(d) ; od: RETURN(a) ; end: seq(a(n), n=1..100);

CROSSREFS

Cf. A000032, A100107, A100279.

Sequence in context: A028285 A007430 A118712 this_sequence A104422 A026547 A081283

Adjacent sequences: A130875 A130876 A130877 this_sequence A130879 A130880 A130881

KEYWORD

easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 21 2007

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


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