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A246661 Run Length Transform of swinging factorials (A056040). 9
1, 1, 1, 2, 1, 1, 2, 6, 1, 1, 1, 2, 2, 2, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 2, 2, 2, 4, 6, 6, 6, 30, 1, 1, 1, 2, 1, 1, 2, 6, 1, 1, 1, 2, 2, 2, 6, 6, 2, 2, 2, 4, 2, 2, 4, 12, 6, 6, 6, 12, 6, 6, 30, 20, 1, 1, 1, 2, 1, 1, 2, 6, 1, 1, 1, 2, 2, 2, 6, 6, 1, 1, 1, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

For the definition of the Run Length Transform see A246595.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..8191

FORMULA

a(2^n-1) = n$ where n$ is the swinging factorial of n, A056040(n).

MATHEMATICA

f[n_] := n!/Quotient[n, 2]!^2; Table[Times @@ (f[Length[#]]&) /@ Select[ Split[ IntegerDigits[n, 2]], #[[1]] == 1&], {n, 0, 85}] (* Jean-Fran├žois Alcover, Jul 11 2017 *)

PROG

(Sage)

# For the function RLT see A246660.

A246661_list = lambda len: RLT(lambda n: factorial(n)/factorial(n//2)^2, len)

A246661_list(88)

CROSSREFS

Cf. A227349, A246588, A246595, A246596, A246660.

Sequence in context: A117848 A025242 A163982 * A246660 A245405 A233543

Adjacent sequences:  A246658 A246659 A246660 * A246662 A246663 A246664

KEYWORD

nonn,base

AUTHOR

Peter Luschny, Sep 07 2014

STATUS

approved

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Last modified October 15 07:56 EDT 2019. Contains 328026 sequences. (Running on oeis4.)