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Search: id:A117176
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| A117176 |
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The Inverse-Shift-Moebius transform of [1,2,3,4,...]. |
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+0
3
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| 1, 3, 5, 8, 10, 16, 16, 24, 27, 35, 35, 51, 45, 65, 70, 79, 77, 107, 96, 132, 128, 146, 145, 193, 169, 211, 218, 251, 235, 308, 262, 335, 330, 373, 377, 449, 384, 483, 489, 555, 507, 638, 559, 696, 682, 726, 709, 873, 765, 923, 894, 995, 945, 1159, 1050, 1223
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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See triangle A117170 for the definition of the Inverse-Shift-Moebius transform.
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FORMULA
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a(n) = Sum_{k=1,n} A117170(n,k)*k.
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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+i)%(c+i)==0, 1, 0))))[n, k]*k)}
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CROSSREFS
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Cf. A117170, A117175.
Sequence in context: A024679 A117467 A133097 this_sequence A127700 A101907 A117668
Adjacent sequences: A117173 A117174 A117175 this_sequence A117177 A117178 A117179
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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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