login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A275065 Number of permutations p of [n] such that p(i)-i is a multiple of ten for all i in [n]. 2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 3072, 9216, 27648, 82944, 248832, 746496, 2239488, 6718464, 20155392, 60466176, 241864704, 967458816, 3869835264, 15479341056, 61917364224, 247669456896, 990677827584, 3962711310336 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..699

FORMULA

a(n) = Product_{i=0..9} floor((n+i)/10)!.

a(n) = ((m+1)!)^10/(m+1)^(10-k) where m=floor(n/10)=A059995(n) and k=n mod 10 =A010879(n). - Robert Israel, Jul 26 2016

a(n) ~ (2*Pi*n)^(9/2) * n! / 10^(n + 5). - Vaclav Kotesovec, Oct 02 2018

MAPLE

f:= n -> mul(floor((n+i)/10)!, i=0..9):

map(f, [$0..30]); # Robert Israel, Jul 26 2016

MATHEMATICA

Table[Product[Floor[(n + i)/10]!, {i, 0, 9}], {n, 0, 40}] (* Vaclav Kotesovec, Oct 02 2018 *)

CROSSREFS

Column k=10 of A275062.

Cf. A010879, A059995.

Sequence in context: A274863 A138815 A275077 * A180212 A274862 A275076

Adjacent sequences:  A275062 A275063 A275064 * A275066 A275067 A275068

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 15 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 14 03:00 EDT 2021. Contains 343872 sequences. (Running on oeis4.)