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A204870 Number of (n+1) X 3 0..3 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. 1
551, 3167, 10397, 59377, 219871, 1174669, 4655229, 23670949, 98156723, 482753329, 2065407959, 9935811641, 43446987877, 205979081813, 914648934213, 4295156552117, 19282358693627, 89994560922771, 407208803726539 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A204876.

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) +63*a(n-2) -2601*a(n-3) +4536*a(n-4) +179113*a(n-5) -747065*a(n-6) -7221895*a(n-7) +45431634*a(n-8) +182343964*a(n-9) -1700316991*a(n-10) -2656170341*a(n-11) +44542956466*a(n-12) +5979050183*a(n-13) -864995557218*a(n-14) +749575671353*a(n-15) +12828157815253*a(n-16) -21664363187009*a(n-17) -147315941270362*a(n-18) +366321656702972*a(n-19) +1309591920470263*a(n-20) -4483773879238923*a(n-21) -8817852135195347*a(n-22) +42452827749552496*a(n-23) +41596247593528608*a(n-24) -320457693221382929*a(n-25) -93129207249788890*a(n-26) +1958909626080065537*a(n-27) -476173625099647129*a(n-28) -9767981574101541098*a(n-29) +6840342164816623067*a(n-30) +39753049499445057547*a(n-31) -45310489336600458567*a(n-32) -131041957635603583114*a(n-33) +213278225795991330860*a(n-34) +342363769797339866697*a(n-35) -781038988875779914266*a(n-36) -669807549203708885447*a(n-37) +2298946713498078670724*a(n-38) +804092456230389378193*a(n-39) -5505999512374820748719*a(n-40) +207542379219804102037*a(n-41) +10741522407172637685604*a(n-42) -3953267360656994842672*a(n-43) -16920094526868407946749*a(n-44) +11661274300467491805569*a(n-45) +21030396596955903605341*a(n-46) -22352392144426303257198*a(n-47) -19525734278225723911209*a(n-48) +31895908287069114927442*a(n-49) +11411741094751979680511*a(n-50) -35030324471821771831618*a(n-51) -159526306989303225199*a(n-52) +29565423612207811002609*a(n-53) -8397136813076848226224*a(n-54) -18617771910806959122428*a(n-55) +10747788846765962658979*a(n-56) +8045850179186250492748*a(n-57) -8076299288350221398115*a(n-58) -1716817531012615385894*a(n-59) +4077060520526278376510*a(n-60) -429576081277299922342*a(n-61) -1357716483124700048222*a(n-62) +508446682354178891036*a(n-63) +253457873453703882950*a(n-64) -197895423575010216388*a(n-65) -3591611700399299896*a(n-66) +39540145879080509104*a(n-67) -9943313643805217392*a(n-68) -3017758897485095424*a(n-69) +1997902475117887744*a(n-70) -232278746578265664*a(n-71) -97120813988239008*a(n-72) +40334967475687872*a(n-73) -6425946586128384*a(n-74) +486358953866496*a(n-75) -14078423324160*a(n-76).

EXAMPLE

Some solutions for n=4

..2..1..1....3..3..0....0..1..2....1..1..1....2..1..1....0..1..1....3..1..1

..1..0..1....1..0..1....1..0..1....3..2..3....1..0..1....1..0..1....1..0..1

..2..1..3....2..3..1....3..1..2....1..1..1....1..1..3....3..1..3....0..1..1

..1..0..1....1..0..1....1..0..1....2..3..2....1..0..1....1..0..1....1..1..0

..3..1..0....3..3..1....2..1..2....1..1..1....2..1..1....2..1..1....1..0..1

CROSSREFS

Cf. A204876.

Sequence in context: A034282 A127347 A063877 * A263947 A203629 A119897

Adjacent sequences:  A204867 A204868 A204869 * A204871 A204872 A204873

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 20 2012

STATUS

approved

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Last modified October 21 07:50 EDT 2021. Contains 348150 sequences. (Running on oeis4.)