A028040 - OEIS

A028040

Expansion of g.f. 1/((1-3*x)*(1-4*x)*(1-7*x)*(1-10*x)).

1, 24, 375, 4870, 57321, 636924, 6829435, 71574690, 738951741, 7552940824, 76677389295, 774826006110, 7804690367761, 78442179476724, 787189784753955, 7891278029367130, 79048458617193381, 791434402768644624, 7920993017579067415, 79256474201063865750, 792890554575137156601

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (24,-201,694,-840).

FORMULA

a(n) = (2*10^(n+3)-7^(n+4)+14*4^(n+3)-3^(n+5))/252. - Yahia Kahloune, Jun 07 2013

E.g.f.: exp(3*x)*(2000*exp(7*x) - 2401*exp(4*x) + 896*exp(x) - 243)/252. - Stefano Spezia, Jul 27 2024

MATHEMATICA

CoefficientList[Series[1/((1-3x)(1-4x)(1-7x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -201, 694, -840}, {1, 24, 375, 4870}, 30] (* Harvey P. Dale, Oct 02 2017 *)

CROSSREFS

Sequence in context: A028043 A028056 A025997 * A025994 A004335 A023954

Adjacent sequences: A028037 A028038 A028039 * A028041 A028042 A028043

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(18)-a(20) from Stefano Spezia, Jul 27 2024

STATUS

approved