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A076758 n*(n+1)^2*(2+n)*(3+2*n)*(19+8*n)/180. 0
0, 9, 98, 516, 1870, 5369, 13132, 28560, 56772, 105105, 183678, 306020, 489762, 757393, 1137080, 1663552, 2379048, 3334329, 4589754, 6216420, 8297366, 10928841, 14221636, 18302480, 23315500, 29423745, 36810774, 45682308, 56267946, 68822945, 83630064 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Let M_n be the n X n matrix M_(i,j)=i^2-j^2. Then the characteristic polynomial of M_n is x^n+a(n-1)x^(n-2) - Benoit Cloitre, Nov 30 2002

LINKS

Table of n, a(n) for n=0..30.

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

FORMULA

G.f.: -x*(x^3+19*x^2+35*x+9)/(x-1)^7. [Colin Barker, Oct 22 2012]

MATHEMATICA

Table[n (n+1)^2(2+n)(3+2n)(19+8n)/180, {n, 0, 30}] (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {0, 9, 98, 516, 1870, 5369, 13132}, 40] (* Harvey P. Dale, Dec 19 2017 *)

CROSSREFS

Sequence in context: A123821 A145509 A098782 * A085868 A147637 A057933

Adjacent sequences:  A076755 A076756 A076757 * A076759 A076760 A076761

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 14 2002

STATUS

approved

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Last modified December 9 03:27 EST 2019. Contains 329872 sequences. (Running on oeis4.)