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

79162, 14421190, 3007468553, 657035534014, 146012317377342, 32661078401030941, 7323990345732323320, 1643927316387847539448, 369125522159345165579835, 82894783611711382069801072

Offset

1,1

Comments

Column 6 of A204572

Links

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

Formula

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)

Example

Some solutions for n=4
..0..0..0..0..0..1..0....0..0..1..0..2..2..0....0..1..0..1..1..1..0
..1..0..0..0..0..0..1....1..0..0..0..0..2..2....2..0..0..0..1..3..1
..1..1..0..1..0..2..0....1..1..0..3..0..0..2....2..2..0..0..0..1..1
..2..1..1..3..1..0..0....3..1..1..0..2..0..0....2..3..2..0..3..0..1
..1..2..1..1..3..1..0....2..3..1..1..0..3..0....1..2..1..2..0..3..0

Crossrefs

Sequence in context: A186612 A180973 A264950 * A183640 A157661 A159713

Adjacent sequences: A204567 A204568 A204569 * A204571 A204572 A204573

Keyword

nonn

Author

R. H. Hardin Jan 16 2012

Status

approved