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Search: id:A001649
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| A001649 |
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A Fielder sequence.
(Formerly M2649 N1056)
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+0
1
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| 1, 3, 7, 15, 26, 57, 106, 207, 403, 788, 1530, 2985, 5812, 11322, 22052, 42959, 83675, 162993, 317491, 618440, 1204651, 2346534, 4570791, 8903409, 17342876, 33782050, 65803777, 128178646, 249678140, 486346022, 947349461, 1845334319
(list; graph; listen)
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OFFSET
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1,2
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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.
Fielder, Daniel C.; Special integer sequences controlled by three parameters. Fibonacci Quart 6 1968 64-70.
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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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FORMULA
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G.f.: x(1+2x+3x^2+4x^3+6x^5)/(1-x-x^2-x^3-x^4-x^6).
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MAPLE
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A001649:=-(1+2*z+3*z**2+4*z**3+6*z**5)/(z+1)/(z**5-z**4+2*z**3-z**2+2*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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PROGRAM
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(PARI) a(n)=if(n<0, 0, polcoeff(x*(1+2*x+3*x^2+4*x^3+6*x^5)/(1-x-x^2-x^3-x^4-x^6)+x*O(x^n), n))
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CROSSREFS
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Sequence in context: A131076 A001648 A051054 this_sequence A001276 A139806 A103021
Adjacent sequences: A001646 A001647 A001648 this_sequence A001650 A001651 A001652
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KEYWORD
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nonn
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AUTHOR
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njas
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