login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A189596 Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-2,-1,0,3} 1
1, 1, 1, 4, 10, 22, 63, 168, 398, 864, 1998, 4814, 11515, 27219, 64834, 155776, 370324, 875660, 2075443, 4937760, 11743610, 27890804, 66275841, 157582669, 374562749, 889810081, 2114058291, 5024124329, 11940009567, 28372771969, 67421703499 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-3) +6*a(n-4) +5*a(n-5) +6*a(n-6) +31*a(n-7) +48*a(n-8) +64*a(n-9) -8*a(n-10) +9*a(n-11) -6*a(n-12) -140*a(n-13) +76*a(n-14) -309*a(n-15) -184*a(n-16) -474*a(n-17) -92*a(n-18) -168*a(n-19) -360*a(n-20) +565*a(n-21) -71*a(n-22) +545*a(n-23) -224*a(n-24) +273*a(n-25) +559*a(n-26) +1211*a(n-27) +236*a(n-28) +1337*a(n-29) -2257*a(n-30) +1533*a(n-31) +739*a(n-32) +1971*a(n-33) -1829*a(n-34) -1102*a(n-35) -1009*a(n-36) -45*a(n-37) +1818*a(n-38) +184*a(n-39) -1648*a(n-40) -873*a(n-41) -1747*a(n-42) +1252*a(n-43) -1431*a(n-44) -1514*a(n-45) -584*a(n-46) -186*a(n-47) +1069*a(n-48) +1390*a(n-49) +1503*a(n-50) +80*a(n-51) +597*a(n-52) +431*a(n-53) -469*a(n-54) -259*a(n-55) -347*a(n-56) -364*a(n-57) +189*a(n-58) -190*a(n-59) -62*a(n-60) +25*a(n-61) +191*a(n-62) +66*a(n-63) +44*a(n-64) +4*a(n-65) -87*a(n-66) -79*a(n-67) +57*a(n-68) -7*a(n-69) +15*a(n-70) -24*a(n-71) -3*a(n-72) -10*a(n-73) +8*a(n-74) +9*a(n-75) +8*a(n-76) -6*a(n-77) -a(n-79) +a(n-80) -a(n-81) +a(n-82) -a(n-84)

EXAMPLE

Some solutions for n=10

..1....1....1....1....1....3....7....3....1....1....2....3....1....7....2....1

..8....6....2....7....2....4....3....2....8....7....3....2....2....6....7....6

..9....4....3....4....3....8....9....7....3....8....5....5....8....8....8....7

..5....8....4....8....8....1....1....1....9....4....1....1....6....1....1....8

..2....2....7....2....9....2....2....9....2....2...10....7....5....2....5....2

..3....3....8....3...10....7....8....8....7....3....8....8....3....3....3....3

..4....9....9....9....4....9....4....4....4....9....4....4....4....4....4....4

.10....5....5....5....5....5....5....5....5....5....9....9....9....5....9....5

..6...10....6....6....6....6....6....6....6....6....6....6...10....9....6....9

..7....7...10...10....7...10...10...10...10...10....7...10....7...10...10...10

CROSSREFS

Sequence in context: A155341 A189589 A025576 * A241430 A023378 A276308

Adjacent sequences: A189593 A189594 A189595 * A189597 A189598 A189599

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 24 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 3 13:06 EST 2022. Contains 358524 sequences. (Running on oeis4.)