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A123955 G.f.: x^5/( (1-3*x) * (1-2*x) * (1-4*x) * (6*x^2-6*x+1) ). 0
0, 0, 0, 0, 1, 15, 139, 1029, 6691, 40041, 226435, 1230009, 6487195, 33464145, 169720915, 849504825, 4208146411, 20674387905, 100901918659, 489826044489, 2367517203931, 11402423910801, 54755709794995, 262308279256089 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..24.

FORMULA

a(n)= 15*a(n-1) -86*a(n-2) +234*a(n-3) -300*a(n-4) +144*a(n-5).

a(n)= -2^n/8 +3^n/9 -4^n/16 +A094433(n+1)/12. [Mar 28 2010]

MATHEMATICA

M = {{3, -1, 0, 0, 0}, {-1, 3, -1, 0, 0}, {0, -1, 3, -1, 0}, {0, 0, -1, 3, -1}, {0, 0, 0, -1, 3}}; v[1] = {0, 0, 0, 0, 1}; v[n_] := v[n] = M.v[n - 1]; a1 = Table[v[n][[1]], {n, 1, 50}]

CROSSREFS

Sequence in context: A030056 A225978 A175707 * A027802 A302855 A133716

Adjacent sequences:  A123952 A123953 A123954 * A123956 A123957 A123958

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson and Roger L. Bagula, Oct 27 2006

EXTENSIONS

G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009

Definition replaced with Voznyy's generating function of Jul 2009 - the Assoc. Eds of the OEIS, Mar 28 2010

STATUS

approved

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Last modified February 17 02:33 EST 2019. Contains 320200 sequences. (Running on oeis4.)