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 A316409 Number of multisets of exactly eight 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, 17133, 45504, 119580, 310416, 798196, 2033289, 5136803, 12878647, 32056022, 79277444, 194822462, 476101571, 1156995495, 2797803485, 6731961588, 16126628466, 38459836055, 91355046531, 216126089962, 509445131238 (list; graph; refs; listen; history; text; internal format)
 OFFSET 8,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 8..1000 FORMULA a(n) = [x^n y^8] 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, 9)     end: a:= n-> coeff(b(n\$2), x, 8): seq(a(n), n=8..36); CROSSREFS Column k=8 of A292506. Cf. A027306, A292549. Sequence in context: A316406 A316407 A316408 * A316410 A316411 A292549 Adjacent sequences:  A316406 A316407 A316408 * A316410 A316411 A316412 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 02 2018 STATUS approved

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Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)