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 A305850 Weigh transform of the Bell numbers (A000110). 4
 1, 1, 2, 7, 21, 78, 305, 1304, 6007, 29854, 159012, 904986, 5479078, 35150263, 238033523, 1695554145, 12663533586, 98881246850, 805128085616, 6820302066048, 59983405937707, 546690232627480, 5154757226832625, 50208266917662433, 504482106565647708 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..576 FORMULA G.f.: Product_{k>=1} (1+x^k)^Bell(k). MAPLE g:= proc(n) option remember; `if`(n=0, 1,       add(binomial(n-1, j-1)*g(n-j), j=1..n))     end: b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,       add(binomial(g(i), j)*b(n-i*j, i-1), j=0..n/i)))     end: a:= n-> b(n\$2): seq(a(n), n=0..30); CROSSREFS Cf. A000110, A290351, A305846, A305852. Sequence in context: A127540 A319852 A060900 * A151289 A150300 A150301 Adjacent sequences:  A305847 A305848 A305849 * A305851 A305852 A305853 KEYWORD nonn AUTHOR Alois P. Heinz, Jun 11 2018 STATUS approved

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Last modified September 17 11:03 EDT 2019. Contains 327129 sequences. (Running on oeis4.)