0,2

The p=10 member of the p-family of sequences {(n+p-1)!/p!}, n >= 1.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 20 2009: (Start)

The asymptotic expansion of the higher order exponential integral E(x,m=1,n=11) ~ exp(-x)/x*(1 - 11/x + 132/x^2 - 1716/x^3 + 24024/x^4 - 360360/x^5 + 5765760/x^6 - ...) leads to the sequence given above. See A163931 and A130534 for more information.

(End)

a(n) = (n+10)!/10!; e.g.f.: 1/(1-x)^11.

a:=n->mul(denom( (k+1)/(k+2) ), k=9..n): seq(a(n), n=8..24); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008

a:=n->mul(numer( (k+1)/(k+2) ), k=10..n): seq(a(n), n=9..25); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008

restart: G(x):=1/(1-x)^11: f[0]:=G(x): for n from 1 to 16 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..16); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 01 2009]

Cf. A000142, A001710, A001715, A001720, A001725, A001730, A049388, A049389, A049398.

Sequence in context: A044041 A158536 A105280 this_sequence A014994 A015609 A157773

Adjacent sequences: A051428 A051429 A051430 this_sequence A051432 A051433 A051434

easy,nonn

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)