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!)
A205053 Number of (n+1)X7 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors 1
43261, 515720, 10523741, 274053256, 9058296062, 262607365879, 8904229041644, 259548109909200, 8803755380865096, 256736260288845464, 8705891422126844444, 253961356902211058988, 8609125024566808093564, 251216315489281883892454 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A205055

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 15*a(n-1) +882*a(n-2) -14313*a(n-3) +101808*a(n-4) -420324*a(n-5) +896290*a(n-6) +3811288*a(n-7) -59858306*a(n-8) +652900809*a(n-9) -5653487226*a(n-10) +46225973874*a(n-11) -330990550747*a(n-12) +2151307115606*a(n-13) -12703307890316*a(n-14) +76702958863682*a(n-15) -463713353037999*a(n-16) +2316960904643434*a(n-17) -8699738078048523*a(n-18) +23246445941995860*a(n-19) -34707029917234146*a(n-20) -35438870941151022*a(n-21) +419105209104416361*a(n-22) -1528955900748802386*a(n-23) +3895822617001454867*a(n-24) -8776961717297748038*a(n-25) +22184608424557266544*a(n-26) -67569837869593268470*a(n-27) +211587115747380142852*a(n-28) -594911505544589651737*a(n-29) +1431508924796793618400*a(n-30) -2910208337589739164548*a(n-31) +4941363700649397987363*a(n-32) -6818095139012186962904*a(n-33) +7177688806108264977372*a(n-34) -4937792831510604190350*a(n-35) +1529271335579255421607*a(n-36) -3391834424422376811338*a(n-37) +22119349930626681204749*a(n-38) -70032093945389182280372*a(n-39) +153085917531938983956095*a(n-40) -267304301224630855898019*a(n-41) +401269639066384164609684*a(n-42) -538190145825026512371552*a(n-43) +653848318446861421633551*a(n-44) -721487705826793458866909*a(n-45) +730571244104015024898400*a(n-46) -697883318218822871944660*a(n-47) +647902142638337638231221*a(n-48) -584315233812779173341737*a(n-49) +494598525700411462479187*a(n-50) -380580831451359232964505*a(n-51) +267304256886526813237067*a(n-52) -178671857915363567967564*a(n-53) +117848652884816466439188*a(n-54) -75168066942495075993420*a(n-55) +43935122182565046695088*a(n-56) -23056496393529457167664*a(n-57) +11360377930218993583920*a(n-58) -5616821194679975483168*a(n-59) +2752275235033960980000*a(n-60) -1225172544337067269600*a(n-61) +471073049288699749200*a(n-62) -165255897557339002800*a(n-63) +59668566436131840000*a(n-64) -21969917813460787200*a(n-65) +6932061183430656000*a(n-66) -1583013887026790400*a(n-67) +225176077526400000*a(n-68) -15011738501760000*a(n-69) for n>76

EXAMPLE

Some solutions for n=4

..0..0..0..1..0..0..1....1..2..1..2..1..2..1....0..2..2..0..0..2..2

..0..1..1..0..1..1..0....0..1..2..0..2..0..2....0..0..1..1..0..0..2

..2..0..2..1..0..2..1....1..0..1..2..1..2..0....1..0..0..1..1..0..0

..1..2..1..2..1..1..2....0..1..0..1..2..0..2....1..1..0..0..1..1..0

..2..1..2..0..2..2..2....1..0..1..0..1..2..2....2..1..1..0..0..1..1

CROSSREFS

Sequence in context: A151623 A151660 A238595 * A146074 A321038 A256767

Adjacent sequences:  A205050 A205051 A205052 * A205054 A205055 A205056

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 21 2012

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 October 28 13:26 EDT 2020. Contains 338055 sequences. (Running on oeis4.)