cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A088626 a(n) = 42*binomial(n,10).

This page as a plain text file.
%I A088626 N2296 #22 Jan 05 2025 13:35:58
%S A088626 0,0,0,0,0,0,0,0,0,0,42,462,2772,12012,42042,126126,336336,816816,
%T A088626 1837836,3879876,7759752,14814072,27159132,48050772,82372752,
%U A088626 137287920,223092870,354323970,551170620,841260420,1261890630,1862790930,2709514080,3887563680
%N A088626 a(n) = 42*binomial(n,10).
%D A088626 Charles Jordan, Calculus of Finite Differences, Chelsea 1965, p. 449.
%D A088626 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%H A088626 T. D. Noe, <a href="/A088626/b088626.txt">Table of n, a(n) for n = 0..1000</a>
%H A088626 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F A088626 G.f.: 42*x^10/(1-x)^11. - _Colin Barker_, Oct 30 2012
%t A088626 42Binomial[Range[0,40],10] (* _Harvey P. Dale_, Apr 19 2020 *)
%o A088626 (PARI) a(n)=42*binomial(n,10) \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A088626 A diagonal of A088617.
%K A088626 nonn,easy
%O A088626 0,11
%A A088626 _N. J. A. Sloane_, Nov 23 2003