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A021754
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Expansion of 1/((1-x)(1-4x)(1-5x)(1-7x)).
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1
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1, 17, 190, 1770, 14931, 118587, 905920, 6742340, 49288261, 355826757, 2546230050, 18106416510, 128181315991, 904540692527, 6368500164580, 44764509392280, 314282333570121, 2204653080603897, 15456046918261510, 108310071701877650, 758760684298882651
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (2*7^(n+3)-9*5^(n+3)+8*4^(n+3)-1)/72. [Yahia Kahloune, May 08 2013]
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MAPLE
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 5 x) (1 - 7 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
LinearRecurrence[{17, -99, 223, -140}, {1, 17, 190, 1770}, 30] (* Harvey P. Dale, Apr 14 2022 *)
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PROG
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(PARI) x='x+O('x^66); Vec(1/((1-x)*(1-4*x)*(1-5*x)*(1-7*x)) ) \\ Joerg Arndt, May 08 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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