A142713 - OEIS

A142713

A determinant sequence: M={{a(-1 + n), a(-2 + n), a(-3 + n), a(-4 + n)}, {a(-2 + n), a(-3 + n), a(-4 + n), a(-5 + n)}, {a(-3 + n), a(-4 + n), a(-5 + n), a(-6 + n)}, {a(-4 + n), a(-5 + n), a(-6 + n), a(-7 + n)}}; a(n)=Det[M].

1, 2, 3, 5, 7, 11, 13, -2, 38, 2728, -443641, 1935029933, -1006469613597229, 314740206896238505761377, -4106778990409111362977439949403921647, -99836159842345073697494052403203681150224535412233647440794

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..16.

FORMULA

M={{a(-1 + n), a(-2 + n), a(-3 + n), a(-4 + n)}, {a(-2 + n), a(-3 + n), a(-4 + n), a(-5 + n)}, {a(-3 + n), a(-4 + n), a(-5 + n), a(-6 + n)}, {a(-4 + n), a(-5 + n), a(-6 + n), a(-7 + n)}}; a(n)=Det[M].

MATHEMATICA

Clear[a, n, m, k]; M = Table[Table[a[n - m - k - 1], {m, 0, 3}], {k, 0, 3}]; b = Det[M]; Table[a[i] = If[i == 0, 1, Prime[i]], {i, 0, 6}]; a[n_] := a[n] = b; Table[a[n], {n, 0, 15}]

CROSSREFS

Sequence in context: A039715 A039714 A039713 * A039712 A072700 A336429

Adjacent sequences: A142710 A142711 A142712 * A142714 A142715 A142716

KEYWORD

uned,sign

AUTHOR

Roger L. Bagula and Gary W. Adamson, Sep 25 2008

STATUS

approved