A028575 Row sums of triangle A011801.

1, 5, 49, 721, 14177, 349141, 10334689, 357361985, 14137664833, 629779342213, 31195027543505, 1700812505769169, 101218448336028193, 6528869281965115541, 453720852957751220353, 33796334125623555379969

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

Formula

E.g.f.: exp(1-(1-5*x)^(1/5))-1.

a(n) = D^n(exp(x)) evaluated at x = 0, where D is the operator 1/(1-x)^4*d/dx. Cf. A001515, A015735 and A016036. - Peter Bala, Nov 25 2011

D-finite with recurrence: a(n) +20*(-n+3)*a(n-1) +30*(5*n^2-35*n+62)*a(n-2) -100*(n-4)*(5*n^2-40*n+81)*a(n-3) +(5*n-22)*(5*n-21)*(5*n-24)*(5*n-23)*a(n-4) -a(n-5)=0. - R. J. Mathar, Jan 28 2020

Mathematica

Rest[With[{nn=20}, CoefficientList[Series[Exp[1-(1-5x)^(1/5)]-1, {x, 0, nn}], x] Range[0, nn]!]] (* Harvey P. Dale, Aug 02 2016 *)

Crossrefs

Cf. A001515, A015735, A016036.

Sequence in context: A052142 A136729 A102773 * A006554 A052750 A145088

Adjacent sequences: A028572 A028573 A028574 * A028576 A028577 A028578

Keyword

nonn

Author

Wolfdieter Lang

Status

approved