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Search: id:A053635
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| A053635 |
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Sum_{d|n} phi(d)*2^(n/d). |
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+0
10
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| 0, 2, 6, 12, 24, 40, 84, 140, 288, 540, 1080, 2068, 4224, 8216, 16548, 32880, 65856, 131104, 262836, 524324, 1049760, 2097480, 4196412, 8388652, 16782048, 33554600, 67117128, 134218836, 268452240, 536870968, 1073777040, 2147483708
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OFFSET
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0,2
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REFERENCES
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T. Pisanski, D. Schattschneider and B. Servatius, Applying Burnside's lemma to a one-dimensional Escher problem, Math. Mag., 79 (2006), 167-180. See v(n).
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FORMULA
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a(n) = n * A000031(n).
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MAPLE
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with(numtheory); A053685:=n->add( phi(n/d)*2^d, d in divisors(n)); [From njas, Nov 21 2009]
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CROSSREFS
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Cf. A053634, A053636. Twice A034738.
Sequence in context: A002336 A030625 A029929 this_sequence A054061 A118224 A003680
Adjacent sequences: A053632 A053633 A053634 this_sequence A053636 A053637 A053638
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 23 2000
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