|
%I #27 Sep 08 2022 08:45:15
%S 1,24,107,288,605,1096,1799,2752,3993,5560,7491,9824,12597,15848,
%T 19615,23936,28849,34392,40603,47520,55181,63624,72887,83008,94025,
%U 105976,118899,132832,147813,163880,181071,199424
%N Structured snub cubic numbers.
%H Vincenzo Librandi, <a href="/A100150/b100150.txt">Table of n, a(n) for n = 1..5000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F a(n) = (1/6)*(38*n^3 - 48*n^2 + 16*n).
%F G.f.: x*(1 + 20*x + 17*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%t LinearRecurrence[{4,-6,4,-1},{1,24,107,288},40] (* _Harvey P. Dale_, Sep 17 2020 *)
%o (PARI) a(n)=n*(38*n^2-48*n+16)/6 \\ _Charles R Greathouse IV_, Jul 18 2011
%o (Magma) [(1/6)*(38*n^3-48*n^2+16*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%Y Cf. A100149, A100151 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
%K nonn,easy
%O 1,2
%A James A. Record (james.record(AT)gmail.com), Nov 07 2004
%E Deleted extra +16 in formula, corrected by _Craig Ferguson_, Jul 18 2011
|
