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 A275426 Number of set partitions of [n] such that eight is a multiple of each block size. 2
 1, 1, 2, 4, 11, 31, 106, 372, 1500, 6220, 28696, 136016, 702802, 3727946, 21253324, 124231096, 772458366, 4918962462, 33061094812, 227303566648, 1639389311906, 12082068225466, 92951836390172, 729991698024568, 5960615982017512, 49636995406898376 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..604 Wikipedia, Partition of a set FORMULA E.g.f.: exp(x+x^2/2+x^4/24+x^8/8!). MAPLE a:= proc(n) option remember; `if`(n=0, 1, add(       `if`(j>n, 0, a(n-j)*binomial(n-1, j-1)), j=[1, 2, 4, 8]))     end: seq(a(n), n=0..30); MATHEMATICA a[n_] := a[n] = If[n == 0, 1, Sum[If[j > n, 0, a[n-j]*Binomial[n-1, j-1]], {j, {1, 2, 4, 8}}]]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, May 17 2018, translated from Maple *) CROSSREFS Column k=8 of A275422. Sequence in context: A148169 A110140 A190452 * A115625 A056323 A081557 Adjacent sequences:  A275423 A275424 A275425 * A275427 A275428 A275429 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 27 2016 STATUS approved

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Last modified October 17 14:47 EDT 2019. Contains 328114 sequences. (Running on oeis4.)