# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a034255 Showing 1-1 of 1 %I A034255 #16 Jan 30 2020 21:29:14 %S A034255 1,10,120,1560,21216,297024,4243200,61526400,902387200,13355330560, %T A034255 199115837440,2986737561600,45030812467200,681895160217600, %U A034255 10364806435307520,158063298138439680,2417438677411430400 %N A034255 Related to quartic factorial numbers A007696. %H A034255 Michael De Vlieger, Table of n, a(n) for n = 1..833 %H A034255 W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4. %H A034255 Elżbieta Liszewska, Wojciech Młotkowski, Some relatives of the Catalan sequence, arXiv:1907.10725 [math.CO], 2019. %F A034255 a(n) = 4^(n-1)*A007696(n)/n!, A007696(n)=(4*n-3)(!^4) := product(4*j-3, j=1..n), n >= 1; G.f. (-1+(1-16*x)^(-1/4))/4. %F A034255 Convolution of A034385(n-1) with A025749(n), n >= 1. %F A034255 D-finite with recurrence: n*a(n) +4*(-4*n+3)*a(n-1)=0. - _R. J. Mathar_, Jan 28 2020 %t A034255 Rest[CoefficientList[Series[(-1+(1-16x)^(-1/4))/4,{x,0,20}],x]] (* _Harvey P. Dale_, May 19 2011 *) %Y A034255 Cf. A007696. a(n)= A048882(n, 1) (first column of triangle). %K A034255 easy,nonn %O A034255 1,2 %A A034255 _Wolfdieter Lang_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE