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A007557
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Shifts left when inverse Moebius transform applied twice.
(Formerly M2458)
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1
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1, 1, 3, 5, 10, 12, 24, 26, 43, 52, 78, 80, 133, 135, 189, 219, 295, 297, 428, 430, 584, 642, 804, 806, 1100, 1123, 1395, 1494, 1856, 1858, 2428, 2430, 2977, 3143, 3739, 3811, 4790, 4792, 5654, 5930, 7072, 7074, 8656
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Equals eigensequence of triangle A127170 (the square of the inverse Mobius transform). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 27 2009]
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210.
N. J. A. Sloane, Transforms
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FORMULA
| a(n+1) = Sum_{d divides n} tau(n/d)*a(d). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 24 2003
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MATHEMATICA
| a[n_] := a[n] = Sum[ DivisorSigma[0, (n - 1)/d]*a[d], {d, Divisors[n - 1]}]; a[1] = 1; Table[a[n], {n, 1, 43}] (* From Jean-François Alcover, Dec 12 2011, after Vladeta Jovovic *)
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CROSSREFS
| Cf. A000005, A007554, A038045, A038046, A003238, A070965.
A127170 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 27 2009]
Sequence in context: A047389 A093661 A080561 * A034746 A080931 A200919
Adjacent sequences: A007554 A007555 A007556 * A007558 A007559 A007560
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KEYWORD
| nonn,nice,eigen
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 24 2003
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