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 A204570 Number of (n+1)X7 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order 1

%I

%S 79162,14421190,3007468553,657035534014,146012317377342,

%T 32661078401030941,7323990345732323320,1643927316387847539448,

%U 369125522159345165579835,82894783611711382069801072

%N Number of (n+1)X7 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 6 of A204572

%H R. H. Hardin, <a href="/A204570/b204570.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 264*a(n-1) +4588*a(n-2) -4003265*a(n-3) +224879469*a(n-4) +553353548*a(n-5) -343473134840*a(n-6) +7432038196746*a(n-7) +88105820552062*a(n-8) -5074692763346853*a(n-9) +44304087343641647*a(n-10) +709536432163690932*a(n-11) -16314724685629256523*a(n-12) +63894778662957678214*a(n-13) +1174599563938664440730*a(n-14) -14766169265186897641126*a(n-15) +34201195988070896222172*a(n-16) +483184746554830772890536*a(n-17) -4050950552316502495934004*a(n-18) +7023965846622321018012372*a(n-19) +58423621132118323037170764*a(n-20) -364387094463598276300434216*a(n-21) +536365520282134051107838056*a(n-22) +2217672560144927305071947880*a(n-23) -11343124893545299835325761616*a(n-24) +15707887637086874858040622080*a(n-25) +22302792181177372943053857648*a(n-26) -115849473261152777042198163264*a(n-27) +163173820746523207617944424000*a(n-28) -19661113052480557168981018272*a(n-29) -242349444800289832472711914752*a(n-30) +327885678028770191656282433664*a(n-31) -130276720665657885355641649152*a(n-32) -100107759696457032103856306688*a(n-33) +141326010636999185296862355456*a(n-34) -58946789841617925076659204096*a(n-35) -1869792653347941858435182592*a(n-36) +11720692513664269193725820928*a(n-37) -5182657928243615484139585536*a(n-38) +1153927678640393484058853376*a(n-39) -144997235575045389551665152*a(n-40) +9789866623312184173658112*a(n-41) -276726208539320748343296*a(n-42)

%e Some solutions for n=4

%e ..0..0..0..0..0..1..0....0..0..1..0..2..2..0....0..1..0..1..1..1..0

%e ..1..0..0..0..0..0..1....1..0..0..0..0..2..2....2..0..0..0..1..3..1

%e ..1..1..0..1..0..2..0....1..1..0..3..0..0..2....2..2..0..0..0..1..1

%e ..2..1..1..3..1..0..0....3..1..1..0..2..0..0....2..3..2..0..3..0..1

%e ..1..2..1..1..3..1..0....2..3..1..1..0..3..0....1..2..1..2..0..3..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 16 2012

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Last modified December 1 08:58 EST 2022. Contains 358467 sequences. (Running on oeis4.)