login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A189599 Number of permutations of 1..n with displacements restricted to {-6,-5,-4,0,1,2,3} 1
1, 1, 1, 1, 8, 35, 144, 425, 1035, 2436, 6140, 16922, 49176, 144117, 410571, 1135249, 3089181, 8424096, 23191590, 64417192, 179639575, 500440977, 1389439997, 3846685210, 10639680698, 29446636078, 81589820105, 226250592841 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-3) +8*a(n-4) +12*a(n-5) +38*a(n-6) +111*a(n-7) +205*a(n-8) +242*a(n-9) -88*a(n-10) -293*a(n-11) -896*a(n-12) -780*a(n-13) -83*a(n-14) -1031*a(n-15) -2759*a(n-16) -3256*a(n-17) -2370*a(n-18) -1778*a(n-19) +2683*a(n-20) +2500*a(n-21) -1001*a(n-22) -53*a(n-23) -5461*a(n-24) +5215*a(n-25) +12513*a(n-26) +3769*a(n-27) +4806*a(n-28) -2713*a(n-29) -9647*a(n-30) +14226*a(n-31) +2540*a(n-32) +8624*a(n-33) +5239*a(n-34) -19427*a(n-35) +3439*a(n-36) +4258*a(n-37) +15089*a(n-38) +11115*a(n-39) -15670*a(n-40) -8137*a(n-41) +464*a(n-42) -3986*a(n-43) +13447*a(n-44) -3406*a(n-45) -9758*a(n-46) -14201*a(n-47) -16160*a(n-48) +4071*a(n-49) +3021*a(n-50) -4393*a(n-51) +1778*a(n-52) -6203*a(n-53) -6247*a(n-54) +2720*a(n-55) +5076*a(n-56) +3578*a(n-57) +2196*a(n-58) -114*a(n-59) -1353*a(n-60) +193*a(n-61) +922*a(n-62) +970*a(n-63) +455*a(n-64) -420*a(n-65) -620*a(n-66) -109*a(n-67) -76*a(n-68) +149*a(n-69) +41*a(n-70) -53*a(n-71) -63*a(n-72) -17*a(n-73) +19*a(n-74) +36*a(n-75) -3*a(n-76) +6*a(n-77) -6*a(n-78) -2*a(n-79) +3*a(n-80) +a(n-81) -a(n-82) -a(n-84)

EXAMPLE

Some solutions for n=8

..7....1....1....6....5....1....5....1....7....1....7....7....7....7....5....6

..2....2....6....1....8....8....6....8....6....7....6....2....6....2....7....1

..8....7....7....7....1....3....1....7....1....8....1....1....1....3....1....3

..1....8....2....2....2....2....2....2....4....4....3....8....2....1....4....8

..3....3....3....3....3....5....3....3....2....2....2....5....5....5....2....2

..4....4....4....4....4....4....4....4....3....3....4....3....3....6....3....4

..5....6....5....5....6....7....7....5....5....5....5....4....4....4....6....7

..6....5....8....8....7....6....8....6....8....6....8....6....8....8....8....5

CROSSREFS

Sequence in context: A248882 A094616 A114569 * A098999 A263520 A223901

Adjacent sequences:  A189596 A189597 A189598 * A189600 A189601 A189602

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 | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 3 14:45 EST 2016. Contains 278745 sequences.