|
|
A160484
|
|
Third right hand column of the Beta triangle A160480
|
|
2
|
|
|
-299, 2063, -8948, 29034, -77537, 180137, -376946, 727116, -1314087, 2251475, -3689600, 5822654, -8896509, 13217165, -19159838, 27178688, -37817187, 51719127, -69640268, 92460626, -121197401, 157018545, -201256970, 255425396
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = - 7*a(n-1) - 21*a(n-2) - 35*a(n-3) - 35*a(n-4) - 21*a(n-5) - 7*a(n-6) - a(n-7) for n > 7.
G.f.: x*(-24*x^6 - 162*x^5 - 467*x^4 - 744*x^3 - 786*x^2 - 30*x - 299)/(x + 1)^7. (End)
|
|
MAPLE
|
nmax:=27; mmax:=nmax: for m from 1 to mmax do BETA(2, m):=0 end do: BETA(2, 1):=-1: for n from 3 to nmax do BETA(n, 1):=(2*n-3)^2*BETA(n-1, 1)-(2*n-4)! end do: for n from 3 to nmax do for m from 2 to mmax do BETA(n, m):=(2*n-3)^2*BETA(n-1, m)-BETA(n-1, m-1) end do end do: for n from 4 to nmax do a(n-3):=BETA(n, n-3) od: seq(a(n), n=1..nmax-3);
|
|
MATHEMATICA
|
LinearRecurrence[{-7, -21, -35, -35, -21, -7, -1}, {-299, 2063, -8948, 29034, -77537, 180137, -376946}, 30] (* Harvey P. Dale, Jul 23 2021 *)
|
|
CROSSREFS
|
A160483 is the second right hand column.
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|