A252411 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A252411

Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7

426, 1224, 3302, 6231, 21819, 63428, 122653, 433272, 1264088, 2446973, 8647751, 25240256, 48858289, 172693010, 504163906, 975786403, 3449387269, 10072591598, 19492346563, 68913269330, 201282072654, 389463616027, 1377074355675

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 4 of A252407

LINKS

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

FORMULA

Empirical: a(n) = 41*a(n-3) -427*a(n-6) -92*a(n-9) +4948*a(n-12) -4734*a(n-15) -16460*a(n-18) +22444*a(n-21) +22257*a(n-24) -37919*a(n-27) -8433*a(n-30) +18472*a(n-33) +420*a(n-36) -516*a(n-39) for n>41

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A048922 A305267 A045094 * A236605 A236699 A338154

Adjacent sequences: A252408 A252409 A252410 * A252412 A252413 A252414

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved