|
%I #4 Jun 23 2015 13:44:36
%S 1114,13774,148296,1729342,19528726,224879224,2569298018,29500968894,
%T 338055313800,3878896990174,44483223452862,510316949991536,
%U 5853542348939354,67149326597585790,770274713475362632
%N Number of (n+1)X(6+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111
%C Column 6 of A259297
%H R. H. Hardin, <a href="/A259295/b259295.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) +68*a(n-2) -2331*a(n-3) +2715*a(n-4) +127282*a(n-5) -407543*a(n-6) -3552923*a(n-7) +16967238*a(n-8) +53329851*a(n-9) -373159393*a(n-10) -374852552*a(n-11) +5020944360*a(n-12) -530953324*a(n-13) -44088857196*a(n-14) +35340877520*a(n-15) +260439199152*a(n-16) -343900816832*a(n-17) -1042238954144*a(n-18) +1873164312128*a(n-19) +2773317482368*a(n-20) -6583718366464*a(n-21) -4584267066368*a(n-22) +15516200251392*a(n-23) +3621536735232*a(n-24) -24598780526592*a(n-25) +1537459224576*a(n-26) +25766309396480*a(n-27) -6673413963776*a(n-28) -17180213116928*a(n-29) +6712291491840*a(n-30) +6848728006656*a(n-31) -3277395591168*a(n-32) -1448477720576*a(n-33) +776315338752*a(n-34) +120259084288*a(n-35) -68719476736*a(n-36)
%e Some solutions for n=3
%e ..0..1..0..0..0..0..1....0..1..0..0..1..1..0....0..1..0..1..0..1..0
%e ..0..0..0..1..0..1..1....1..0..0..1..0..1..1....1..0..1..0..1..1..1
%e ..0..1..0..0..0..0..1....0..1..0..0..0..0..1....0..1..0..1..1..0..1
%e ..0..0..1..0..1..0..0....0..0..0..1..0..1..0....1..0..0..0..1..1..0
%Y Cf. A259297
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 23 2015
| 