A118587 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A118587

Expansion of (17-25*x-23*x^2+133*x^3)/(1-x)^4.

17, 43, 47, 131, 397, 947, 1883, 3307, 5321, 8027, 11527, 15923, 21317, 27811, 35507, 44507, 54913, 66827, 80351, 95587, 112637, 131603, 152587, 175691, 201017, 228667, 258743, 291347, 326581, 364547, 405347, 449083, 495857, 545771, 598927

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

OFFSET

0,1

COMMENTS

The old name was "A nested recursion from a cubic prime generating polynomial so that only the ending coefficients are necessary to determine the recursion: f[x_] = 17*x^3 - 62*x^2 + 71*x + 17."

LINKS

Table of n, a(n) for n=0..34.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 17*n^3 - 62*n^2 + 71*n + 17.

G.f.: (17 - 25*x - 23*x^2 + 133*x^3)/(1-x)^4. - Colin Barker, Mar 11 2013

MATHEMATICA

LinearRecurrence[{4, -6, 4, -1}, {17, 43, 47, 131}, 40] (* Harvey P. Dale, Mar 24 2016 *)

CROSSREFS

Sequence in context: A196476 A086006 A195685 * A215164 A123592 A260553

Adjacent sequences: A118584 A118585 A118586 * A118588 A118589 A118590

KEYWORD