A203105 Number of nX5 binary arrays with every 1 immediately preceded by 0 0 to the left or above

4, 16, 296, 3229, 27930, 290787, 3058275, 30467160, 307348931, 3136679770, 31792300100, 321814932391, 3265106426523, 33117798943046, 335719222714954, 3404069403053140, 34519198292461238, 350010371192262630

Offset

1,1

Comments

Column 5 of A203108

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +528*a(n-3) +1008*a(n-4) +5399*a(n-5) -30310*a(n-6) -171877*a(n-7) -492494*a(n-8) +316605*a(n-9) +8088522*a(n-10) +28873116*a(n-11) +11544754*a(n-12) -224866007*a(n-13) -905663009*a(n-14) -712286999*a(n-15) +5883198984*a(n-16) +16927349820*a(n-17) +1421413768*a(n-18) -81539737483*a(n-19) -182397771216*a(n-20) +33940434358*a(n-21) +895964982825*a(n-22) +1216040206684*a(n-23) -1426518346236*a(n-24) -5121954807024*a(n-25) -2944167488611*a(n-26) +6700908694455*a(n-27) +16102231377327*a(n-28) +10936757305499*a(n-29) -17933646854214*a(n-30) -45352557185904*a(n-31) -31059248689732*a(n-32) +21304888913333*a(n-33) +85334914702098*a(n-34) +111492872459110*a(n-35) +14481000838988*a(n-36) -117065311988323*a(n-37) -215626839857378*a(n-38) -199569375901153*a(n-39) +33353760221455*a(n-40) +276340283673958*a(n-41) +411172043630551*a(n-42) +279167797694380*a(n-43) -61848772590528*a(n-44) -381089712467205*a(n-45) -484726723465464*a(n-46) -274749831276677*a(n-47) -26351665118898*a(n-48) +269608712974592*a(n-49) +222532377116605*a(n-50) +169975619694392*a(n-51) +37940330275815*a(n-52) -68318527994786*a(n-53) +19257263716479*a(n-54) -23387175959950*a(n-55) +28960042422343*a(n-56) +46744986053231*a(n-57) -60889017245194*a(n-58) +71517355640696*a(n-59) -91283645953698*a(n-60) +75467815567960*a(n-61) -56997101702762*a(n-62) +48113948186692*a(n-63) -24306960226884*a(n-64) +17936231882740*a(n-65) -7046263039284*a(n-66) +4391881784952*a(n-67) -877494304288*a(n-68) +654039079448*a(n-69) +26697188752*a(n-70) -55733192624*a(n-71) -3908828800*a(n-72) -36373646656*a(n-73) +583282816*a(n-74) -1583406592*a(n-75) +838948864*a(n-76) +154722304*a(n-77) +28499968*a(n-78)

Example

Some solutions for n=5
..0..0..0..1..0....0..0..1..0..0....0..0..0..0..1....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..0..0..1..0....0..0..1..0..0....0..0..0..0..0....1..0..0..0..0
..0..0..1..0..0....0..1..0..0..0....0..0..0..0..0....0..1..0..0..0
..0..0..1..0..0....0..0..1..0..0....0..1..1..1..1....0..0..1..0..0

Crossrefs

Sequence in context: A144988 A067172 A013089 * A273474 A095956 A014731

Adjacent sequences: A203102 A203103 A203104 * A203106 A203107 A203108

Keyword

nonn

Author

R. H. Hardin Dec 29 2011

Status

approved