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 A204216 Number of length 8 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than n. 1
 127, 1925, 12492, 51945, 164255, 431445, 991152, 2057553, 3945655, 7098949, 12120428, 19806969, 31187079, 47562005, 70550208, 102135201, 144716751, 201165445, 274880620, 369851657, 490722639, 642860373, 832425776, 1066448625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 7 of A204213. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (841/180)*n^6 + (101/5)*n^5 + (1325/36)*n^4 + (73/2)*n^3 + (946/45)*n^2 + (34/5)*n + 1. Conjectures from Colin Barker, Jun 06 2018: (Start) G.f.: x*(127 + 1036*x + 1684*x^2 + 481*x^3 + 42*x^4 - 7*x^5 + x^6) / (1 - x)^7. a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7. (End) EXAMPLE Some solutions for n=4: ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..2....3....3....2....3....2....3....4....1....4....4....4....1....4....3....3 ..3....5....0....2....2....0....6....0....1....4....8....8....1....6....5....2 ..4....4....1....5....5....2....8....2....1....5....5....4....0....9....7....3 ..4....5....3....7....6....3....6....6....4....2....3....2....1....6...10....1 ..7....4....6....7....6....2....2....3....3....0....6....1....3....2....6....2 ..4....2....4....4....3....0....2....4....2....1....4....0....4....1....3....1 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 CROSSREFS Cf. A204213. Sequence in context: A025598 A115153 A172408 * A075937 A075938 A258003 Adjacent sequences:  A204213 A204214 A204215 * A204217 A204218 A204219 KEYWORD nonn AUTHOR R. H. Hardin, Jan 12 2012 STATUS approved

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Last modified May 18 10:05 EDT 2022. Contains 353792 sequences. (Running on oeis4.)