A268325 Number of length-(n+1) 0..6 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero.

2, 4, 11, 33, 114, 435, 1828, 8347, 40967, 213476, 1167038, 6620563, 38616800, 229908144, 1389394409, 8488437842, 52275301038, 323844494931, 2015202856151, 12583558074610, 78792289312786, 494476637793884, 3109144620092506

Offset

1,1

Comments

Column 6 of A268327.

Links

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

Formula

Empirical: a(n) = 85*a(n-1) -3366*a(n-2) +82295*a(n-3) -1386925*a(n-4) +17019210*a(n-5) -156331765*a(n-6) +1084941555*a(n-7) -5636724036*a(n-8) +21085378015*a(n-9) -50325001951*a(n-10) +37617575820*a(n-11) +213182974620*a(n-12) -813092997160*a(n-13) +770630574930*a(n-14) +2257030578230*a(n-15) -6653453677281*a(n-16) +247414659915*a(n-17) +21051181958044*a(n-18) -16718457793465*a(n-19) -43997340297789*a(n-20) +53879923261450*a(n-21) +76684670354671*a(n-22) -100035381928785*a(n-23) -126944916371090*a(n-24) +114738194825025*a(n-25) +187188954935145*a(n-26) -51075152814970*a(n-27) -196841758256594*a(n-28) -63278370502380*a(n-29) +98176306220916*a(n-30) +99869982678040*a(n-31) +19690930153560*a(n-32) -26581558465280*a(n-33) -25769657503680*a(n-34) -11894859049920*a(n-35) -3433657832064*a(n-36) -649913978880*a(n-37) -78779602944*a(n-38) -5563468800*a(n-39) -174182400*a(n-40)

Example

Some solutions for n=9
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....1....1....1....1....0....1....0....1....0....1
..2....2....2....2....2....0....0....2....0....2....1....2....1....2....1....2
..0....3....3....3....3....2....0....3....0....0....2....3....0....3....1....1
..3....2....4....4....2....3....0....4....2....2....3....4....2....1....0....0
..4....4....2....0....0....4....2....0....0....3....4....3....3....2....1....3
..3....0....5....3....0....5....3....4....0....0....3....2....0....0....2....4
..0....0....3....2....3....3....0....2....1....3....5....1....2....4....1....3
..1....5....4....5....1....0....2....0....3....1....0....2....3....1....1....4
..4....3....5....1....3....1....0....0....0....4....1....1....4....0....2....1

Crossrefs

Cf. A268327.

Sequence in context: A340329 A268323 A268324 * A268326 A268320 A127782

Adjacent sequences: A268322 A268323 A268324 * A268326 A268327 A268328

Keyword

nonn

Author

R. H. Hardin, Feb 01 2016

Status

approved