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Search: id:A003143
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| A003143 |
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a(2n) = [ 17*2^n /14 ], a(2n+1) = [ 12*2^n /7 ].
(Formerly M0570)
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1
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| 1, 1, 2, 3, 4, 6, 9, 13, 19, 27, 38, 54, 77, 109, 155, 219, 310, 438, 621, 877, 1243, 1755, 2486, 3510, 4973, 7021, 9947, 14043, 19894, 28086, 39789, 56173, 79579, 112347, 159158, 224694, 318317, 449389, 636635, 898779, 1273270, 1797558
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, Vol. 3, p. 207.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
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A003143:=(1+z**3-z**4+z**5-z**6+z**7)/(z-1)/(z**2-z+1)/(z**2+z+1)/(2*z**2-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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PROGRAM
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(PARI) a(n)=(17+7*(n%2))*2^(n\2)\14
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CROSSREFS
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Adjacent sequences: A003140 A003141 A003142 this_sequence A003144 A003145 A003146
Sequence in context: A017824 A094054 A001521 this_sequence A017983 A017825 A017826
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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More terms from Michael Somos, May 04 2000
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