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 A000996 Shifts 3 places left under binomial transform. (Formerly M1618 N0632) 3
 1, 0, 0, 1, 1, 1, 2, 6, 17, 44, 112, 304, 918, 3040, 10623, 38161, 140074, 528594, 2068751, 8436893, 35813251, 157448068, 713084042, 3315414747, 15805117878, 77273097114, 387692392570, 1996280632656, 10542604575130, 57034787751655, 315649657181821 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Alois P. Heinz, Table of n, a(n) for n = 0..300 M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version] M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures] N. J. A. Sloane, Transforms S. Tauber, On generalizations of the exponential function, Amer. Math. Monthly, 67 (1960), 763-767. MAPLE a:= proc(n) option remember; local k; if n<=2 then [1, 0, 0][n+1] else 1+ add(binomial(n-3, k) *a(k), k=3..n-3) fi end: seq(a(n), n=0..29); # Alois P. Heinz, Sep 05 2008 MATHEMATICA a[n_] := a[n] = If[n <= 2 , {1, 0, 0}[[n+1]], 1+Sum [Binomial[n-3, k]*a[k], {k, 3, n-3}]]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, Mar 24 2014, after Alois P. Heinz *) CROSSREFS Column k=3 of A143983. Sequence in context: A019439 A018024 A190159 * A020963 A065068 A109961 Adjacent sequences:  A000993 A000994 A000995 * A000997 A000998 A000999 KEYWORD nonn,eigen AUTHOR EXTENSIONS More terms from Alois P. Heinz, Sep 05 2008 STATUS approved

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Last modified March 22 17:25 EDT 2019. Contains 321422 sequences. (Running on oeis4.)