login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A270497 Sum of the sizes of the fifth blocks in all set partitions of {1,2,...,n}. 2
1, 17, 184, 1641, 13276, 102244, 770989, 5795889, 43967302, 339403001, 2681449074, 21763977864, 181900742989, 1567473197429, 13932812925824, 127738400615689, 1207445992487256, 11759938209394472, 117926100082535985, 1216563820893322317, 12901060857158377838 (list; graph; refs; listen; history; text; internal format)
OFFSET
5,2
LINKS
MAPLE
b:= proc(n, m) option remember; `if`(n=0, [1, 0],
add((p->`if`(j<6, [p[1], p[2]+p[1]*x^j], p))(
b(n-1, max(m, j))), j=1..m+1))
end:
a:= n-> coeff(b(n, 0)[2], x, 5):
seq(a(n), n=5..30);
MATHEMATICA
b[n_, m_] := b[n, m] = If[n == 0, {1, 0}, Sum[Function[p, If[j < 6, {p[[1]], p[[2]] + p[[1]]*x^j}, p]][b[n - 1, Max[m, j]]], {j, 1, m + 1}]];
a[n_] := Coefficient[b[n, 0][[2]], x, 5];
Table[a[n], {n, 5, 30}] (* Jean-François Alcover, May 27 2018, translated from Maple *)
CROSSREFS
Column p=5 of A270236.
Sequence in context: A167578 A181401 A243419 * A025958 A199674 A369332
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 18 2016
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 15 11:27 EDT 2024. Contains 374332 sequences. (Running on oeis4.)