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A000998 From a differential equation.
(Formerly M2549 N1009)
1
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 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

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).

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 (vladeta(AT)eunet.rs), Feb 05 2008

CROSSREFS

Sequence in context: A045693 A051284 A001867 * A109781 A101958 A153982

Adjacent sequences:  A000995 A000996 A000997 * A000999 A001000 A001001

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 05 2008

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Last modified February 14 06:20 EST 2012. Contains 205570 sequences.