[go: up one dir, main page]

login
A261845
Number of compositions of n into distinct parts where each part i is marked with a word of length i over a septenary alphabet whose letters appear in alphabetical order.
2
1, 7, 28, 476, 1386, 8106, 117936, 322764, 1440579, 6172495, 99773646, 232110704, 981073576, 3329628176, 14040114012, 224848217580, 490210909629, 1828885568055, 5750093241172, 20040621544916, 69910543160794, 1238596672832718, 2451410591056280, 8705347941656016
OFFSET
0,2
COMMENTS
Also matrices with seven rows of nonnegative integers with distinct positive column sums and total element sum n.
LINKS
MAPLE
b:= proc(n, i, p) option remember;
`if`(i*(i+1)/2<n, 0, `if`(n=0, p!, b(n, i-1, p)+
`if`(i>n, 0, b(n-i, i-1, p+1)*binomial(i+6, 6))))
end:
a:= n-> b(n$2, 0):
seq(a(n), n=0..25);
CROSSREFS
Column k=7 of A261835.
Sequence in context: A203209 A193288 A050548 * A181942 A140447 A038934
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 03 2015
STATUS
approved