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A060633 Surround numbers of an n X 1 rectangle.

%I A060633 #32 Jul 02 2025 16:02:01
%S A060633 16,123,361,778,1428,2371,3673,5406,7648,10483,14001,18298,23476,
%T A060633 29643,36913,45406,55248,66571,79513,94218,110836,129523,150441,
%U A060633 173758,199648,228291,259873,294586,332628,374203,419521,468798,522256,580123,642633,710026,782548,860451
%N A060633 Surround numbers of an n X 1 rectangle.
%H A060633 Harry J. Smith, <a href="/A060633/b060633.txt">Table of n, a(n) for n = 1..1000</a>
%H A060633 E. J. Friedman, <a href="https://erich-friedman.github.io/mathmagic/0599.html">Math. Magic</a>
%H A060633 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A060633 a(n) = (n^4 + 22*n^3 + 105*n^2 - 56*n - 8)/4.
%F A060633 G.f.: x*(-16 - 43*x + 94*x^2 - 43*x^3 + 2*x^4) / (x-1)^5. - _R. J. Mathar_, Jan 30 2011
%p A060633 for n from 1 to 50 do printf(`%d,`,(n^4+22*n^3+105*n^2-56*n-8)/4) od:
%t A060633 Table[(n^4 + 22 n^3 + 105 n^2 - 56 n - 8) / 4, {n, 40}] (* _Vincenzo Librandi_, Jul 03 2018 *)
%t A060633 LinearRecurrence[{5,-10,10,-5,1},{16,123,361,778,1428},50] (* _Harvey P. Dale_, Dec 24 2019 *)
%o A060633 (PARI) a(n)={(n^4 + 22*n^3 + 105*n^2 - 56*n - 8)/4} \\ _Harry J. Smith_, Jul 08 2009
%o A060633 (Magma) [(n^4 + 22*n^3 + 105*n^2 - 56*n - 8)/4: n in [1..40]]; // _Vincenzo Librandi_, Jul 03 2018
%Y A060633 Cf. A047875.
%K A060633 easy,nonn
%O A060633 1,1
%A A060633 _Jason Earls_, Apr 15 2001
%E A060633 More terms from _James Sellers_, Apr 16 2001