OFFSET
1,7
LINKS
Roger L. Bagula, Table of n, a(n) for n = 1..78
FORMULA
M(i,j)=1/Gamma[i+j]; i,j<=n IM(i,j)=Inverse(M(i,j))
EXAMPLE
{1},
{0, 1},
{-1, 1, 1},
{-48, 28, 25, -1},
{233280, -91368, -60993, 2305, 1},
{222953472000, -65503641600, -33198846720, 985867696, 446161, -1}
MATHEMATICA
M[w_] := Table[Table[1/Gamma[n + m], {n, 0, w}], {m, 0, w}]
IM[w_] := Inverse[M[w]] Join[{1, x}, Table[CharacteristicPolynomial[n*IM[n], x], {n, 1, 10}]]
a = Join[{{1}, {0, 1}}, Table[CoefficientList[CharacteristicPolynomial[n*IM[n], x], x], {n, 1, 10}]];
Flatten[a]
Join[{1, 1}, Table[Apply[Plus, CoefficientList[CharacteristicPolynomial[n*IM[n], x], x]], {n, 1, 10}]]
CROSSREFS
KEYWORD
AUTHOR
Roger L. Bagula, Mar 20 2008
STATUS
approved