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

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

nonn,less,easy

Author

Roger L. Bagula, May 06 2006

Extensions

New name from Colin Barker, Mar 11 2013

Overall editing by Joerg Arndt, Mar 12 2013

Status

approved