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!)
 A332747 Number of compositions of n^2, such that each element of [n] is used at least once as a part. 4
 1, 1, 3, 72, 6232, 1621620, 1241237520, 2675188471920, 15634073104902000, 239929277724680059440, 9411787539302194544158080, 922671287397731617736789070720, 221805878984619105095368813189002240, 128660270226206951104782827202740054476800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Some parts can be larger than n. Adding the condition that parts cannot be larger than n, we get A332721. Removing from A332721 the condition that each element of [n] has to be used, we get A332716. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..50 EXAMPLE a(4) = 6232: all permutations of 4321111111, 432211111, 43222111, 4322221, 43321111, 4332211, 433321, 4432111, 443221, 543211, 64321. MAPLE b:= proc(n, i, p, m) option remember; `if`(n=0, p!,       `if`(i<1, 0, (t-> add(b(n-i*j, i-1, p+j, t)/(j+       `if`(t=0, 1, 0))!, j=0..n/i))(`if`(i>m, m, 0))))     end: a:= n-> b(n*(n-1)/2\$2, n\$2): seq(a(n), n=0..15); CROSSREFS Cf. A011782, A103488, A332716, A332721, A332796. Sequence in context: A228712 A300967 A332721 * A202948 A213986 A156908 Adjacent sequences:  A332744 A332745 A332746 * A332748 A332749 A332750 KEYWORD nonn AUTHOR Alois P. Heinz, Feb 21 2020 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 August 1 19:31 EDT 2021. Contains 346402 sequences. (Running on oeis4.)