A252318 - OEIS

A252318

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

15269, 5029, 18820, 97191, 505062, 2670867, 14105723, 74390225, 393421805, 2079994660, 10983499803, 58012069543, 306545373892, 1619740161782, 8557028038444, 45206323422740, 238837210761031, 1261858577288398

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

OFFSET

1,1

COMMENTS

Column 5 of A252321

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-2) +42*a(n-3) +223*a(n-4) +485*a(n-5) +723*a(n-6) -806*a(n-7) -5802*a(n-8) -7741*a(n-9) -2192*a(n-10) +15111*a(n-11) +38908*a(n-12) +12652*a(n-13) -51970*a(n-14) -63310*a(n-15) -10142*a(n-16) +76678*a(n-17) +114593*a(n-18) +55643*a(n-19) -41944*a(n-20) -125700*a(n-21) -123068*a(n-22) +13538*a(n-23) +65402*a(n-24) +12190*a(n-25) -45747*a(n-26) -141580*a(n-27) -54075*a(n-28) +19846*a(n-29) +79685*a(n-30) +127258*a(n-31) +23571*a(n-32) +8322*a(n-33) -10776*a(n-34) -19695*a(n-35) +32001*a(n-36) +2521*a(n-37) +6203*a(n-38) +7320*a(n-39) -17221*a(n-40) +14400*a(n-41) -11126*a(n-42) +9529*a(n-43) -5434*a(n-44) +2728*a(n-45) -1898*a(n-46) +781*a(n-47) -255*a(n-48) +156*a(n-49) -24*a(n-50) -11*a(n-51) +5*a(n-52) for n>57

EXAMPLE

Some solutions for n=4

..2..3..3..3..3..2..3....3..2..3..3..3..3..3....3..2..3..3..3..2..3

..3..3..3..2..3..3..3....2..3..3..3..2..3..3....3..3..3..3..3..3..3

..3..2..3..3..3..3..2....3..3..3..3..3..3..2....3..3..3..3..3..3..2

..3..3..3..3..2..3..3....3..3..3..2..3..3..3....3..3..3..3..2..3..3

..2..3..3..3..3..3..3....2..3..3..3..3..3..3....3..3..3..3..3..3..3

..3..3..3..3..3..2..3....3..3..2..3..3..3..2....3..3..3..2..3..3..3

CROSSREFS

Sequence in context: A251952 A205996 A296087 * A233602 A233603 A233595

Adjacent sequences: A252315 A252316 A252317 * A252319 A252320 A252321

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 16 2014

STATUS

approved