The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A244101 Number of ballot sequences of length n having 4 largest parts. 2
 1, 0, 0, 0, 14, 42, 90, 165, 737, 3003, 15652, 55965, 236924, 851224, 3872838, 16766607, 83026979, 390791373, 1941965432, 9380708953, 47629991554, 241035098010, 1284641489560, 6852122431245, 38078198632749, 211138699725567, 1208307893511470, 6916339675763595 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,5 COMMENTS Also number of standard Young tableaux with last row of length 4. LINKS Alois P. Heinz, Table of n, a(n) for n = 4..100 MATHEMATICA b[n_, l_List] := b[n, l] = If[n < 1, x^l[[-1]], b[n - 1, Append[l, 1]] + Sum[If[i == 1 || l[[i - 1]] > l[[i]], b[n - 1, ReplacePart[l, i -> l[[i]] + 1]], 0], {i, 1, Length[l]}]]; a[n_] := Coefficient[b[n - 1, {1}], x, 4]; Table[a[n], {n, 4, 30}] (* Jean-François Alcover, Feb 10 2015, after A238123 *) CROSSREFS Column k=4 of A238123. Sequence in context: A245629 A163756 A005587 * A212514 A292051 A242897 Adjacent sequences:  A244098 A244099 A244100 * A244102 A244103 A244104 KEYWORD nonn AUTHOR Joerg Arndt and Alois P. Heinz, Jun 20 2014 STATUS approved

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

Last modified March 29 05:39 EDT 2020. Contains 333105 sequences. (Running on oeis4.)