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!)
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-Fran├žois 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 29 13:58 EDT 2022. Contains 357090 sequences. (Running on oeis4.)