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A115056 a(n) = n*(n^2-1)*(3*n+2). 2
0, 0, 0, 48, 264, 840, 2040, 4200, 7728, 13104, 20880, 31680, 46200, 65208, 89544, 120120, 157920, 204000, 259488, 325584, 403560, 494760, 600600, 722568, 862224, 1021200, 1201200, 1404000, 1631448, 1885464, 2168040, 2481240, 2827200 (list; graph; refs; listen; history; text; internal format)
OFFSET

-1,4

REFERENCES

Number Theory, George E. Andrews 1971, Dover Publications New York, p 4.

LINKS

G. C. Greubel, Table of n, a(n) for n = -1..5000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

From G. C. Greubel, Jul 17 2017: (Start)

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: 24*x^2*(x+2)/(1-x)^5.

E.g.f.: (3*x^4 + 20*x^3 + 24*x^2)*exp(x). (End)

MATHEMATICA

Table[3*n^4 + 2*n^3 - 3*n^2 - 2*n, {n, -1, 50}] (* G. C. Greubel, Jul 17 2017 *)

PROG

(PARI) g(n) = for(x=0, n, y=x*(x^2-1)*(3*x+2); print1(y", "))

(Pari) x='x+O('x^50); concat([0, 0, 0], Vec(24*x^2*(x+2)/(1-x)^5)) \\ G. C. Greubel, Jul 17 2017

CROSSREFS

Sequence in context: A235904 A275406 A205469 * A001337 A259993 A205747

Adjacent sequences:  A115053 A115054 A115055 * A115057 A115058 A115059

KEYWORD

nonn

AUTHOR

Cino Hilliard, Feb 28 2006

STATUS

approved

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Last modified October 25 23:12 EDT 2021. Contains 348256 sequences. (Running on oeis4.)