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A130591 a(n+3) = (8 - 3*n)*a(n-1) + (-24 + 4*n)*a(n) + (22 - n)*a(n+1) - 8*a(n+2). 0
1, -8, 84, -836, 8617, -87016, 869799, -8590272, 83796504, -806946224, 7666848877, -71824221768, 662987321281, -6025366832504, 53867639536838, -473272010699496, 4081721963157687, -34511324853373512, 285631757521047043, -2309922250334330096, 18213524452315660914 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

FORMULA

For n >= 1, a(n+3) = (8 - 3*n)*a(n-1) + (-24 + 4*n)*a(n) + (22 - n)*a(n+1) - 8*a(n+2). -- Jianing Song, Nov 10 2018

MATHEMATICA

M[n_] := {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {8 - 3 n, -24 + 4 n, 22 - n, -8}};

v[0] ={1, -8, 84, -836};

v[n_] := v[n] = M[n].v[n - 1];

a = Table[v[n][[1]], {n, 0, 30}]

PROG

(PARI) M(n) = [0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; 8 - 3*n, -24 + 4*n, 22 - n, -8];

T(n) = if(n==0, [1; -8; 84; -836], M(n)*T(n-1))

a(n) = T(n)[1, 1] \\ Jianing Song, Nov 10 2018

CROSSREFS

Sequence in context: A199907 A264710 A143868 * A048665 A005797 A233835

Adjacent sequences:  A130588 A130589 A130590 * A130592 A130593 A130594

KEYWORD

sign,easy,less

AUTHOR

Roger L. Bagula, Jun 16 2007

EXTENSIONS

Edited, new name, and offset corrected by Jianing Song, Nov 10 2018

STATUS

approved

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Last modified September 15 02:19 EDT 2019. Contains 327062 sequences. (Running on oeis4.)