<a href="/index/Rec#order_05">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1).
editing
approved
Harvey P. Dale, <a href="/A090453/b090453.txt">Table of n, a(n) for n = 0..1000</a>
approved
editing
editing
approved
<a href="/index/Rec#order_05">Index to sequences with linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1).
Table[(n+1)(n^3+15n^2+56n+24)/12, {n, 0, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {2, 16, 51, 118, 230}, 40] (* Harvey P. Dale, Dec 07 2014 *)
approved
editing
editing
approved
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 23 2003
Wolfdieter Lang, Dec 23 2003
approved
editing
Third column (m=4) of array A090452.
2, 16, 51, 118, 230, 402, 651, 996, 1458, 2060, 2827, 3786, 4966, 6398, 8115, 10152, 12546, 15336, 18563, 22270, 26502, 31306, 36731, 42828, 49650, 57252, 65691, 75026, 85318, 96630, 109027, 122576, 137346, 153408, 170835, 189702, 210086
0,1
a(n)= (n+1)*(n^3+15*n^2+56*n+24)/12.
G.f.: (2+6*x-9*x^2+3*x^3)/(1-x)^5.
nonn,easy
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 23 2003
approved