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A000998 From a differential equation.
(Formerly M2549 N1009)
5
1, 3, 6, 11, 24, 69, 227, 753, 2451, 8004, 27138, 97806, 375313, 1511868, 6292884, 26826701, 116994453, 523646202, 2414394601, 11487130362, 56341183365, 284110648983, 1468690344087, 7766823788295, 41976012524088, 231812530642644, 1308325741771908 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

When preceded by {0, 0, 1, 0, 0}, this sequence shifts 3 places under binomial transform. - Olivier Gérard, Aug 12 2016

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..695

S. Tauber, On generalizations of the exponential function, Amer. Math. Monthly, 67 (1960), 763-767.

FORMULA

G.f.: A(x) = Sum(x^(3*k-3)/Product(1-l*x,l = 0 .. k)^3,k = 0 .. infinity). - Vladeta Jovovic, Feb 05 2008

MAPLE

b:= proc(n) option remember; `if`(n<3, [0$2, 1][n+1],

      add(binomial(n-3, j)*b(j), j=0..n-3))

    end:

a:= n-> b(n+5):

seq(a(n), n=0..30);  # Alois P. Heinz, May 21 2019

CROSSREFS

Sequence in context: A319910 A319636 A001867 * A221182 A109781 A101958

Adjacent sequences:  A000995 A000996 A000997 * A000999 A001000 A001001

KEYWORD

nonn,eigen

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Vladeta Jovovic, Feb 05 2008

STATUS

approved

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Last modified November 16 19:17 EST 2019. Contains 329201 sequences. (Running on oeis4.)