|
|
A294433
|
|
Expansion of (1+11*x+24*x^2+11*x^3+x^4)/(1-x)^5.
|
|
2
|
|
|
1, 16, 94, 331, 871, 1906, 3676, 6469, 10621, 16516, 24586, 35311, 49219, 66886, 88936, 116041, 148921, 188344, 235126, 290131, 354271, 428506, 513844, 611341, 722101, 847276, 988066, 1145719, 1321531, 1516846, 1733056, 1971601, 2233969, 2521696, 2836366
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
D. C. Haws, Matroids [Broken link, Oct 30 2017]
D. C. Haws, Matroids [Copy on website of Matthias Koeppe]
|
|
FORMULA
|
a(n) = 1 + 7*n/2 + 11*n^2/2 + 4*n^3 + 2*n^4. - Robert Israel, Oct 30 2017
G.f.: (1 + 11*x + 24*x^2 + 11*x^3 + x^4) / (1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>4.
(End)
|
|
MAPLE
|
seq(1 + 7*n/2 + 11*n^2/2 + 4*n^3 + 2*n^4, n=0..30); # Robert Israel, Oct 30 2017
|
|
MATHEMATICA
|
Table[1 + 7*n/2 + 11*n^2/2 + 4*n^3 + 2*n^4, {n, 0, 30}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {1, 16, 94, 331, 871}, 30] (* G. C. Greubel, Apr 29 2018 *)
|
|
PROG
|
(PARI) Vec((1 + 11*x + 24*x^2 + 11*x^3 + x^4) / (1 - x)^5 + O(x^40)) \\ Colin Barker, Oct 31 2017
(PARI) a(n) = my(t=n*(n+1)/2); 8*t^2+7*t+1; \\ Altug Alkan, Apr 30 2018
(Magma) [1 + 7*n/2 + 11*n^2/2 + 4*n^3 + 2*n^4: n in [0..30]]; // G. C. Greubel, Apr 29 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|