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 A210544 Number of arrays of n nonnegative integers with value i>0 appearing only after i-1 has appeared at least 7 times 1
 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 257, 524, 1106, 2470, 5924, 15262, 41690, 118595, 345861, 1023028, 3050590, 9146312, 27567958, 83678750, 256632743, 798853376, 2537255097, 8264988956, 27723246374, 95941707086, 342355797248 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Column 7 of A210545 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA a(n) = 1 if n<=7 else sum{i=0..n-7}(binomial(n-7,i)*a(i)) EXAMPLE Some solutions for n=19 ..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....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....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....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....0....0....0....0....0....0....0....0....0....0....0....0 ..0....1....1....0....1....1....0....1....1....1....1....0....1....0....0....0 ..1....1....0....0....0....1....1....0....0....1....1....1....0....1....1....1 ..1....0....1....1....1....0....1....0....0....1....0....0....0....1....0....1 ..0....1....0....0....0....1....1....0....1....1....1....1....0....1....1....1 ..0....0....1....0....1....0....1....0....1....0....1....0....0....1....1....0 ..1....0....0....1....1....1....0....0....0....1....1....0....1....1....1....0 ..0....1....1....0....1....1....0....0....0....1....1....1....0....1....1....0 ..0....1....1....0....1....1....0....0....1....0....1....0....0....1....1....1 ..1....1....1....1....0....1....0....0....1....1....2....1....1....0....1....0 ..1....1....1....1....0....2....0....0....0....1....1....1....1....0....2....1 ..0....0....1....1....1....1....0....0....1....0....1....1....0....1....2....1 ..0....1....1....1....0....2....1....1....1....0....0....0....1....1....2....1 CROSSREFS Sequence in context: A275063 A186026 A023423 * A180210 A274861 A290666 Adjacent sequences:  A210541 A210542 A210543 * A210545 A210546 A210547 KEYWORD nonn AUTHOR R. H. Hardin, formula proved by R. J. Mathar in the Sequence Fans Mailing List, Mar 22 2012 STATUS approved

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Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)