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 A316410 Number of multisets of exactly nine nonempty binary words with a total of n letters such that no word has a majority of 0's. 2
 1, 3, 10, 33, 98, 291, 826, 2320, 6342, 17188, 45684, 120435, 313280, 808581, 2065885, 5241557, 13191343, 32992806, 81964072, 202499115, 497418503, 1215823396, 2956890329, 7159215090, 17256728038, 41428552721, 99060756883, 235997525351, 560191343126 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 9..1000 FORMULA a(n) = [x^n y^9] 1/Product_{j>=1} (1-y*x^j)^A027306(j). MAPLE g:= n-> 2^(n-1)+`if`(n::odd, 0, binomial(n, n/2)/2): b:= proc(n, i) option remember; series(`if`(n=0 or i=1, x^n, add( binomial(g(i)+j-1, j)*b(n-i*j, i-1)*x^j, j=0..n/i)), x, 10) end: a:= n-> coeff(b(n\$2), x, 9): seq(a(n), n=9..37); CROSSREFS Column k=9 of A292506. Cf. A027306, A292549. Sequence in context: A316407 A316408 A316409 * A316411 A292549 A062454 Adjacent sequences: A316407 A316408 A316409 * A316411 A316412 A316413 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 02 2018 STATUS approved

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Last modified August 9 04:25 EDT 2024. Contains 375027 sequences. (Running on oeis4.)