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A028575 Row sums of triangle A011801. 6
1, 5, 49, 721, 14177, 349141, 10334689, 357361985, 14137664833, 629779342213, 31195027543505, 1700812505769169, 101218448336028193, 6528869281965115541, 453720852957751220353, 33796334125623555379969 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 13 10:38 EDT 2020. Contains 335687 sequences. (Running on oeis4.)