The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A223679 Number of nX7 0..1 arrays with rows and antidiagonals unimodal 1
29, 841, 16857, 275775, 4123210, 58944337, 821284360, 11265254628, 152970187735, 2064772010660, 27771600878598, 372727832822131, 4995706936865652, 66902046494918683, 895490435068510617, 11982518313043515007 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A223680
LINKS
FORMULA
Empirical: a(n) = 29*a(n-1) -296*a(n-2) +1435*a(n-3) -3427*a(n-4) -7828*a(n-5) +49592*a(n-6) +352558*a(n-7) -636195*a(n-8) -10876335*a(n-9) +33814287*a(n-10) +11969416*a(n-11) -303909144*a(n-12) +441678604*a(n-13) +3422280936*a(n-14) -8859148026*a(n-15) +852850231*a(n-16) -40652559025*a(n-17) +224135872305*a(n-18) -288423328788*a(n-19) -387179703160*a(n-20) +1064968890514*a(n-21) +233134451136*a(n-22) -1109142831534*a(n-23) +8548651106250*a(n-24) -48852225377678*a(n-25) +122390385655489*a(n-26) -195703619047481*a(n-27) +392869508379804*a(n-28) -1151435265560089*a(n-29) +2171538014535193*a(n-30) -2300815249155302*a(n-31) +1897414184113747*a(n-32) -1653214464072941*a(n-33) -137348547691080*a(n-34) +9036579264546509*a(n-35) -25618517273435769*a(n-36) +39827335881630628*a(n-37) -72361643136916710*a(n-38) +153209010276945668*a(n-39) -202596443036523874*a(n-40) +120138000799594382*a(n-41) +3287904513855923*a(n-42) -79300534420052725*a(n-43) +265881642838692769*a(n-44) -575489964002754564*a(n-45) +652989472152746893*a(n-46) -369186741991254341*a(n-47) -11325499984554073*a(n-48) +358162777599477400*a(n-49) -655515344162720269*a(n-50) +756584002882183489*a(n-51) -633515360531580266*a(n-52) +387864257955999943*a(n-53) +2512474825339141*a(n-54) -446721853742066924*a(n-55) +629695429101778274*a(n-56) -471305399541927500*a(n-57) +240594715609426998*a(n-58) -155135547438406450*a(n-59) +164328285437212760*a(n-60) -133901062998735172*a(n-61) +59901911520102136*a(n-62) -6917958139189656*a(n-63) -14599393419547920*a(n-64) +23267385598748520*a(n-65) -22070070657235008*a(n-66) +12659868667050624*a(n-67) -4121488825869312*a(n-68) +681725317178880*a(n-69) -43934723481600*a(n-70)
EXAMPLE
Some solutions for n=3
..0..1..1..0..0..0..0....1..1..1..0..0..0..0....0..1..1..1..1..1..1
..1..1..1..1..0..0..0....0..0..0..0..0..0..0....1..1..1..0..0..0..0
..0..0..0..0..0..0..1....0..0..0..1..1..1..1....0..0..0..0..0..0..0
CROSSREFS
Sequence in context: A223668 A223636 A223619 * A171303 A262337 A009973
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 25 2013
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 May 17 08:10 EDT 2024. Contains 372579 sequences. (Running on oeis4.)