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A156060
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Jacobsthal numbers A001045 mod 9.
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1
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0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7, 6, 2, 5, 0, 1, 1, 3, 5, 2, 3, 7, 4, 0, 8, 8, 6, 4, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Period length 18. [Proof from A001045(n)=87381*A001045(n-17)+87382*A001045(n-18), where 87381 == 0 (mod 9) and 87382 == 1 (mod 9).] [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 06 2009]
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FORMULA
| a(n)=(1/306)*{93*(n mod 18)-43*[(n+1) mod 18]+76*[(n+2) mod 18]+25*[(n+3) mod 18]-43*[(n+4) mod 18]+42*[(n+5) mod 18]+42*[(n+6) mod 18]+8*[(n+7) mod 18]-128*[(n+8) mod 18]+76*[(n+9) mod 18]+59*[(n+10) mod 18]-60*[(n+11) mod 18]-9*[(n+12) mod 18]+59*[(n+13) mod 18]-26*[(n+14) mod 18]-26*[(n+15) mod 18]+8*[(n+16) mod 18]-9*[(n+17) mod 18]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 12 2009]
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CROSSREFS
| Cf. A001045. [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Feb 06 2009]
Sequence in context: A076562 A057673 A200109 * A205701 A197331 A113475
Adjacent sequences: A156057 A156058 A156059 * A156061 A156062 A156063
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KEYWORD
| nonn,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Feb 03 2009
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EXTENSIONS
| Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Feb 06 2009
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