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A332716 Number of compositions of n^2 where each part is less than or equal to n. 4
1, 1, 5, 149, 20569, 11749641, 26649774581, 236837126431501, 8237168505776637425, 1125036467745713090813969, 606147434557459526483161067501, 1293596348252277644272081532560154645, 10970544241076481629439275072320816659677161 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

All terms are odd.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..57

FORMULA

a(n) = Sum_{i=0..n-1} A048004(n^2-1,i) for i > 0.

EXAMPLE

a(2) = 5: 22, 211, 121, 112, 1111.

MAPLE

b:= proc(n, k) option remember; `if`(n=0, 1,

      add(b(n-d, k), d=1..min(n, k)))

    end:

a:= n-> b(n^2, n):

seq(a(n), n=0..15);

CROSSREFS

Cf. A000079, A000290, A008464, A048004, A090667, A103488, A332721, A332796.

Sequence in context: A294360 A075186 A226803 * A230666 A113560 A094364

Adjacent sequences:  A332713 A332714 A332715 * A332717 A332718 A332719

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 20 2020

STATUS

approved

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Last modified June 20 15:14 EDT 2021. Contains 345165 sequences. (Running on oeis4.)