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 A028188 Expansion of 1/((1-5*x)*(1-7*x)*(1-10*x)*(1-12*x)). 0
 1, 34, 737, 13022, 204885, 2995842, 41695033, 560476774, 7346285309, 94497418730, 1198353224289, 15030879260046, 186924790959973, 2308975949692498, 28368854500004105, 347054225208330038 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..15. Index entries for linear recurrences with constant coefficients, signature (34,-419,2210,-4200). FORMULA G.f.: 1/((1-5*x)*(1-7*x)*(1-10*x)*(1-12*x)). a(n) = (3*12^(n+3)-7*10^(n+3)+7^(n+4)-3*5^(n+3))/210. [Yahia Kahloune, May 29 2013]. a(n) = 34*a(n-1)-419*a(n-2)+2210*a(n-3)-4200*a(n-4). - Wesley Ivan Hurt, May 04 2021 MATHEMATICA CoefficientList[Series[1/((1-5x)(1-7x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -419, 2210, -4200}, {1, 34, 737, 13022}, 30] (* Harvey P. Dale, Jul 15 2018 *) CROSSREFS Sequence in context: A028206 A028192 A028161 * A295780 A028159 A028179 Adjacent sequences: A028185 A028186 A028187 * A028189 A028190 A028191 KEYWORD nonn AUTHOR N. J. A. Sloane. STATUS approved

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Last modified November 29 06:17 EST 2023. Contains 367422 sequences. (Running on oeis4.)