A001577 An operational recurrence. (Formerly M1718 N0681)

1, 1, 2, 6, 60, 2880, 2246400, 135862272000, 10376834265907200000, 77540115374348238323712000000000, 71611262431705169979126571320506685849600000000000000, 799595359352229378487949660335170674324575940302246074414582988800000000000000000000000

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

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

Table of n, a(n) for n=1..12.

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

Formula

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

Mathematica

Table[Product[Fibonacci[k]^Fibonacci[n+1-k], {k, n}], {n, 12}] (* Harvey P. Dale, May 16 2012 *)

Crossrefs

Sequence in context: A108640 A084971 A224883 * A156503 A077175 A139771

Adjacent sequences: A001574 A001575 A001576 * A001578 A001579 A001580

Keyword

nice,easy,nonn

Author

N. J. A. Sloane

Extensions

More terms from Harvey P. Dale, May 16 2012

Status

approved