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Search: id:A002041
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| A002041 |
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Expansion of 1/(1-x)(1-4x^2)(1-5x).
(Formerly M4216 N1759)
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+0
1
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| 1, 6, 35, 180, 921, 4626, 23215, 116160, 581141, 2906046, 14531595, 72659340, 363302161, 1816516266, 9082603175, 45413037720, 227065275981, 1135326467286
(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.
Problem 64, Amer. Math. Monthly, 3 (1896), 244-248.
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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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a(n-2) = (1/252) {3*5^n - 4^[(n+2)/2] - 5*4^[(n+3)/2] + 21}. - R. Stephan, Aug 22 2004
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MAPLE
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A002041:=-1/(z-1)/(2*z+1)/(2*z-1)/(5*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Adjacent sequences: A002038 A002039 A002040 this_sequence A002042 A002043 A002044
Sequence in context: A030532 A026997 A014337 this_sequence A103995 A009572 A027202
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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