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.

A302178 The number of 3D walks of semilength n in a quadrant returning to the origin.

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%I A302178 #26 Aug 29 2020 03:11:03
%S A302178 1,4,40,570,9898,195216,4209084,96941130,2349133930,59272544760,
%T A302178 1545550116240,41416083787260,1135679731004700,31760915181412800,
%U A302178 903492759037272480,26086451983000501410,763124703525758894490,22585374873810849150600,675419388009799152812400
%N A302178 The number of 3D walks of semilength n in a quadrant returning to the origin.
%H A302178 Nachum Dershowitz, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL20/Dershowitz/dersh3.html">Touchard's Drunkard</a>, Journal of Integer Sequences, Vol. 20 (2017), #17.1.5. The sequence is type aab in Table 3.
%F A302178 a(n) = Sum_{i=0..n,j=0..n-i} A000108(i) * A000108(j) * A000984_(n-i-j) * (2n)!/((2i)!*(2j)!*(2n-2i-2j)!). - _Nachum Dershowitz_, Aug 13 2020
%Y A302178 Cf. A000108, A000984, A002212, A002896, A005572, A026375, A064037, A081671, A138547, A145847, A145867, A150500, A202814.
%K A302178 nonn,walk
%O A302178 0,2
%A A302178 _N. J. A. Sloane_, Apr 09 2018
%E A302178 a(8)-a(18) from _Nachum Dershowitz_, Aug 03 2020
%E A302178 Name edited by _Nachum Dershowitz_, Aug 13 2020