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A088626 42*C(n,10).
(Formerly N2296)
5

%I N2296 #17 Apr 19 2020 12:16:24

%S 0,0,0,0,0,0,0,0,0,0,42,462,2772,12012,42042,126126,336336,816816,

%T 1837836,3879876,7759752,14814072,27159132,48050772,82372752,

%U 137287920,223092870,354323970,551170620,841260420,1261890630,1862790930,2709514080,3887563680

%N 42*C(n,10).

%D Charles Jordan, Calculus of Finite Differences, Chelsea 1965, p. 449.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%H T. D. Noe, <a href="/A088626/b088626.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

%F G.f.: 42*x^10/(1-x)^11. - _Colin Barker_, Oct 30 2012

%t 42Binomial[Range[0,40],10] (* _Harvey P. Dale_, Apr 19 2020 *)

%o (PARI) a(n)=42*binomial(n,10) \\ _Charles R Greathouse IV_, Oct 07 2015

%Y A diagonal of A088617.

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_, Nov 23 2003

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)