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A021754 Expansion of 1/((1-x)(1-4x)(1-5x)(1-7x)). 1
1, 17, 190, 1770, 14931, 118587, 905920, 6742340, 49288261, 355826757, 2546230050, 18106416510, 128181315991, 904540692527, 6368500164580, 44764509392280, 314282333570121, 2204653080603897, 15456046918261510, 108310071701877650, 758760684298882651 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = (2*7^(n+3)-9*5^(n+3)+8*4^(n+3)-1)/72. [Yahia Kahloune, May 08 2013]
MAPLE
A021754:=n->(2*7^(n+3)-9*5^(n+3)+8*4^(n+3)-1)/72: seq(A021754(n), n=0..30); # Wesley Ivan Hurt, Apr 18 2017
MATHEMATICA
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 *)
PROG
(PARI) x='x+O('x^66); Vec(1/((1-x)*(1-4*x)*(1-5*x)*(1-7*x)) ) \\ Joerg Arndt, May 08 2013
CROSSREFS
Sequence in context: A115234 A197370 A211848 * A141993 A025467 A322122
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)