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A204037 Number of (n+1)X7 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards 1

%I

%S 1482,13040,111578,642272,3811097,16895850,76619720,282617310,

%T 1055589853,3391174364,10959843386,31616413858,91424070381,

%U 242081380402,641447591664,1585247839144,3918142616865,9157651318884,21407414058747

%N Number of (n+1)X7 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards

%C Column 6 of A204039

%H R. H. Hardin, <a href="/A204037/b204037.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +42*a(n-2) -186*a(n-3) -834*a(n-4) +4182*a(n-5) +10330*a(n-6) -60562*a(n-7) -88176*a(n-8) +634854*a(n-9) +533742*a(n-10) -5132886*a(n-11) -2176526*a(n-12) +33303050*a(n-13) +3990822*a(n-14) -178125486*a(n-15) +20497455*a(n-16) +800655966*a(n-17) -244110372*a(n-18) -3067833252*a(n-19) +1424615412*a(n-20) +10128925356*a(n-21) -6109810428*a(n-22) -29054615892*a(n-23) +21157274696*a(n-24) +72863601532*a(n-25) -61532087460*a(n-26) -160504207212*a(n-27) +153496767684*a(n-28) +311598140244*a(n-29) -332678323252*a(n-30) -534270943580*a(n-31) +631715793357*a(n-32) +809848190976*a(n-33) -1056932627454*a(n-34) -1084942031778*a(n-35) +1564026334310*a(n-36) +1282470076558*a(n-37) -2051849112126*a(n-38) -1333006602906*a(n-39) +2389407590328*a(n-40) +1211100877470*a(n-41) -2470503463978*a(n-42) -952305712094*a(n-43) +2266388597226*a(n-44) +636981099522*a(n-45) -1841783785170*a(n-46) -350547551382*a(n-47) +1322443533509*a(n-48) +146531193214*a(n-49) -835911393576*a(n-50) -33897458784*a(n-51) +462865483080*a(n-52) -10151851248*a(n-53) -223084572480*a(n-54) +17366580000*a(n-55) +92807571120*a(n-56) -11894039520*a(n-57) -32967432960*a(n-58) +5724787200*a(n-59) +9857495296*a(n-60) -2119051264*a(n-61) -2433649152*a(n-62) +614862336*a(n-63) +482913024*a(n-64) -138665472*a(n-65) -74024960*a(n-66) +23601152*a(n-67) +8226816*a(n-68) -2863104*a(n-69) -589824*a(n-70) +221184*a(n-71) +20480*a(n-72) -8192*a(n-73)

%e Some solutions for n=4

%e ..0..0..0..1..0..1..1....0..0..0..1..0..1..1....1..0..0..1..1..0..0

%e ..0..1..0..0..0..1..0....1..0..1..0..1..1..1....0..1..1..0..0..1..1

%e ..0..0..0..1..0..1..1....0..0..1..0..1..1..1....1..0..0..1..1..0..1

%e ..0..1..1..0..1..0..1....0..1..0..1..1..1..1....0..1..1..0..0..1..1

%e ..1..0..0..1..1..1..1....0..1..0..1..1..1..1....1..0..0..1..1..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2012

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Last modified June 28 05:40 EDT 2022. Contains 354903 sequences. (Running on oeis4.)