login
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.
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 01 2016
STATUS
approved