login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096341 E.g.f.: exp(x)/(1-x)^7. 5
1, 8, 71, 694, 7421, 86276, 1084483, 14665106, 212385209, 3280842496, 53862855551, 936722974958, 17205245113141, 332864226563324, 6766480571358971, 144202473398010826, 3215159679583864433 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sum_{k=0..n} A094816(n,k)*x^k give A000522(n), A001339(n), A082030(n), A095000(n), A095177(n), A096307(n) for x = 1, 2, 3, 4, 5, 6 respectively.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..250

FORMULA

a(n) = Sum_{k = 0..n} A094816(n, k)*7^k.

a(n) = Sum_{k = 0..n} binomial(n, k)*(k+6)!/6!.

a(n) = 2F0(7,-n;;-1). - Benedict W. J. Irwin, May 27 2016

MATHEMATICA

Table[HypergeometricPFQ[{7, -n}, {}, -1], {n, 0, 20}] (* Benedict W. J. Irwin, May 27 2016 *)

With[{nn = 250}, CoefficientList[Series[Exp[x]/(1 - x)^7, {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, May 27 2016 *)

CROSSREFS

Sequence in context: A292865 A152265 A081178 * A199687 A225033 A075506

Adjacent sequences:  A096338 A096339 A096340 * A096342 A096343 A096344

KEYWORD

nonn

AUTHOR

Philippe Deléham, Jun 28 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 7 23:03 EDT 2020. Contains 335502 sequences. (Running on oeis4.)