0,2

The p=9 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=10) ~ exp(-x)/x*(1 - 10/x + 110/x^2 - 1320/x^3 + 17160/x^4 - 240240/x^5 + 3603600/x^6 - ...) leads to the sequence given above. See A163931 and A130534 for more information.

(End)

a(n) = (n+9)!/9!; e.g.f.: 1/(1-x)^10.

a:=n->mul(denom( (k+1)/(k+2) ), k=8..n): seq(a(n), n=7..23); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008

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

restart: G(x):=1/(1-x)^10: 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.

Sequence in context: A057093 A055276 A143749 this_sequence A055530 A108487 A099883

Adjacent sequences: A049395 A049396 A049397 this_sequence A049399 A049400 A049401

easy,nonn

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