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Search: id:A117177
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| A117177 |
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The Shift-Moebius transform of powers of 2. |
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+0
1
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| 1, 1, 2, 5, 12, 25, 57, 115, 240, 484, 996, 1987, 4041, 8071, 16252, 32527, 65292, 130558, 261651, 523271, 1047533, 2095138, 4192255, 8384449, 16773161, 33546227, 67100496, 134201373, 268419000, 536837755, 1073709065, 2147417864
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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See triangle A117165 for the definition of the Shift-Moebius transform.
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FORMULA
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a(n) = Sum_{k=1,n} A117165(n,k)*2^(k-1).
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PROGRAM
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(PARI) {a(n)=sum(k=1, n, prod(i=0, n, matrix(n, n, r, c, if(r>=c, if((r+n-i)%(c+n-i)==0, moebius((r+n-i)/(c+n-i)), 0))))[ n, k]*2^(k-1))}
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CROSSREFS
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Cf. A117165, A117175.
Sequence in context: A122439 A063807 A116715 this_sequence A132977 A027927 A116717
Adjacent sequences: A117174 A117175 A117176 this_sequence A117178 A117179 A117180
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KEYWORD
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nonn
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be) and Paul D. Hanna (pauldhanna(AT)juno.com), Mar 05 2006
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