The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A023043 6th differences of factorial numbers. 10
 265, 2119, 18806, 183822, 1965624, 22852200, 287250480, 3884393520, 56255149440, 869007242880, 14266826784000, 248112809683200, 4557208289356800, 88166812070937600, 1792259345728051200, 38195370237024000000, 851609625265631232000, 19827505082582765568000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets Index entries for sequences related to factorial numbers FORMULA From Vaclav Kotesovec, Oct 21 2012: (Start) E.g.f.: (265 + 264*x + 135*x^2 + 40*x^3 + 15*x^4 + x^6)/(1-x)^7. D-finite Recurrence: a(n) = (n+7)*a(n-1) - (n-1)*a(n-2), n>=1. a(n) ~ n!*n^6. (End) MATHEMATICA CoefficientList[Series[-(265 + 264x + 135x^2 + 40x^3 + 15x^4 + x^6)/(x - 1)^7, {x, 0, 20}], x] Range[0, 20]! (* Vaclav Kotesovec, Oct 21 2012 *) Differences[Range[0, 23]!, 6] (* Alonso del Arte, Nov 10 2018 *) PROG (PARI) x='x+O('x^66); Vec(serlaplace( -(265 +264*x +135*x^2 +40*x^3 +15*x^4 +x^6) / (x-1)^7 )) \\ Joerg Arndt, May 04 2013 (GAP) a:=[265, 2119];; for n in [3..20] do a[n]:=(n+6)*a[n-1]-(n-2)*a[n-2]; od; a; # Muniru A Asiru, Nov 23 2018 (Magma) I:=[2119, 18806]; [265] cat [n le 2 select I[n] else (n+7)*Self(n-1) - (n-1)*Self(n-2): n in [1..30]]; // G. C. Greubel, Nov 23 2018 (Sage) f= (265 + 264*x + 135*x^2 + 40*x^3 + 15*x^4 + x^6)/(1-x)^7 g=f.taylor(x, 0, 30) L=g.coefficients() coeffs={c[1]:c[0]*factorial(c[1]) for c in L} coeffs # G. C. Greubel, Nov 23 2018 CROSSREFS Sequence in context: A202464 A183247 A094795 * A211719 A210120 A266308 Adjacent sequences: A023040 A023041 A023042 * A023044 A023045 A023046 KEYWORD nonn,easy AUTHOR David W. Wilson STATUS approved

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

Last modified June 8 00:26 EDT 2023. Contains 363157 sequences. (Running on oeis4.)