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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A327627 Number of parts in all thrice partitions of n. 3
 0, 1, 7, 25, 109, 315, 1179, 3234, 10789, 29517, 89217, 238422, 708782, 1838147, 5158957, 13489966, 36783238, 94122716, 252156677, 638254389, 1674465026, 4215683662, 10834938301, 27032106456, 68911496918, 170196098655, 427274190051, 1051046411165, 2612004809769 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..2000 MAPLE b:= proc(n, i, k) option remember; `if`(n=0, [1, 0], `if`(k=0, [1, 1], `if`(i<2, 0, b(n, i-1, k))+ (h-> (f-> f +[0, f[1]*h[2]/h[1]])(h[1]* b(n-i, min(n-i, i), k)))(b(i\$2, k-1)))) end: a:= n-> b(n\$2, 3)[2]: seq(a(n), n=0..30); MATHEMATICA b[n_, i_, k_] := b[n, i, k] = If[n == 0, {1, 0}, If[k == 0, {1, 1}, If[i < 2, 0, b[n, i - 1, k]] + Function[h, Function[f, f + {0, f[[1]] h[[2]]/ h[[1]]}][h[[1]] b[n - i, Min[n - i, i], k]]][b[i, i, k - 1]]]]; a[n_] := b[n, n, 3][[2]]; a /@ Range[0, 30] (* Jean-François Alcover, Dec 10 2020, after Alois P. Heinz *) CROSSREFS Column k=3 of A327618. Cf. A327628. Sequence in context: A155271 A200152 A255280 * A110240 A266810 A199893 Adjacent sequences: A327624 A327625 A327626 * A327628 A327629 A327630 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 19 2019 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.

Last modified August 13 21:01 EDT 2024. Contains 375144 sequences. (Running on oeis4.)