A266052 Number of nX5 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.

19, 598, 10310, 624720, 27764427, 1354845965, 66932934348, 3259070209301, 159353279107646, 7792621095228513, 380866765803286898, 18618322174587460635, 910139683582143961662, 44490397159770539486511

Offset

1,1

Comments

Column 5 of A266055.

Links

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

Formula

Empirical: a(n) = 19*a(n-1) +746*a(n-2) +27847*a(n-3) +309119*a(n-4) +2306897*a(n-5) -16828113*a(n-6) -271769128*a(n-7) -852109469*a(n-8) +7018554962*a(n-9) +21358934767*a(n-10) -14604813532*a(n-11) -560980746043*a(n-12) +3159891015468*a(n-13) -9226037083897*a(n-14) +27361727881158*a(n-15) -144705648305592*a(n-16) +511309088732527*a(n-17) -1205962353344617*a(n-18) +1543824576826165*a(n-19) -763252872837213*a(n-20) -384895543722058*a(n-21) +714574203187388*a(n-22) -287313767063371*a(n-23) +39708960973077*a(n-24) +7995903030661*a(n-25) -22279656771257*a(n-26) -3251846703346*a(n-27) +1501572270544*a(n-28) +113454890215*a(n-29) -62444936434*a(n-30) +23830635082*a(n-31) +112979674*a(n-32) -246936756*a(n-33) +16522476*a(n-34) -657832*a(n-35) -147424*a(n-36) +3456*a(n-37) for n>40

Example

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

Crossrefs

Cf. A266055.

Sequence in context: A287936 A226584 A180841 * A317029 A183516 A290007

Adjacent sequences: A266049 A266050 A266051 * A266053 A266054 A266055

Keyword

nonn

Author

R. H. Hardin, Dec 20 2015

Status

approved