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A101213 a(n) = n * (n+1)^2 * (n+2)^3. 1
0, 108, 1152, 6000, 21600, 61740, 150528, 326592, 648000, 1197900, 2090880, 3480048, 5564832, 8599500, 12902400, 18865920, 26967168, 37779372, 51984000, 70383600, 93915360, 123665388, 160883712, 207000000, 263640000, 332642700 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

a(0)=0, a(1)=108, a(2)=1152, a(3)=6000, a(4)=21600, a(5)=61740, a(6)=150528, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)- 7*a(n-6)+ a(n-7). - Harvey P. Dale, Mar 29 2012

G.f.: -((12*(x^4+17*x^3+33*x^2+9 x))/(x-1)^7). - Harvey P. Dale, Mar 29 2012

EXAMPLE

a(1) = 1 * (1+1)^2 * (1+2)^3 = 108.

MATHEMATICA

Table[n*(n + 1)^2*(n + 2)^3, {n, 0, 25}] (* Stefan Steinerberger, Feb 26 2006 *)

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 108, 1152, 6000, 21600, 61740, 150528}, 30] (* Harvey P. Dale, Mar 29 2012 *)

PROG

(Maxima) A101213(n):=n*(n+1)^2*(n+2)^3$ makelist(A101213(n), n, 0, 20); /* Martin Ettl, Dec 15 2012 */

CROSSREFS

Sequence in context: A292343 A228174 A184201 * A202608 A202092 A202484

Adjacent sequences:  A101210 A101211 A101212 * A101214 A101215 A101216

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi, Dec 13 2004

EXTENSIONS

More terms from Stefan Steinerberger, Feb 26 2006

STATUS

approved

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Last modified March 20 09:23 EDT 2019. Contains 321345 sequences. (Running on oeis4.)