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A001577 An operational recurrence.
(Formerly M1718 N0681)
0
1, 1, 2, 6, 60, 2880, 2246400, 135862272000, 10376834265907200000, 77540115374348238323712000000000 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Considers recurrences u(n+1) = (d/dx) u_n(x)*u_{n-1}(x) and u(n+1) = x*(d/dx) u_n(x)*u_{n-1}(x). In latter, take u_0=1, u_1=x; setting x=1 gives sequence shown here.

REFERENCES

H. W. Gould, Operational recurrences, Fib. Quart., 1 (No. 1, 1963), 30-33.

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).

FORMULA

Product F_k^F_{n+1-k}, k=1..n, F = Fibonacci numbers.

CROSSREFS

Sequence in context: A156472 A108640 A084971 * A156503 A077175 A139771

Adjacent sequences:  A001574 A001575 A001576 * A001578 A001579 A001580

KEYWORD

nice,easy,nonn

AUTHOR

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

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Last modified February 14 10:43 EST 2012. Contains 205614 sequences.