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!)
A293370 Number of partitions of n where each part i is marked with a word of length i over a senary alphabet whose letters appear in alphabetical order and all six letters occur at least once in the partition. 2
1602, 36744, 512787, 5413842, 49654380, 405769740, 3112631737, 22474141722, 156807714204, 1057029675170, 6981434207532, 45160469355996, 288451275981963, 1818548589385302, 11371801475805417, 70522341255530382, 434990774484893184, 2668650839230709592 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

FORMULA

a(n) ~ c * 6^n, where c = 3.760725122262068858184072984846959348360490081749654779894152320389687335... - Vaclav Kotesovec, Oct 11 2017

MAPLE

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

      b(n, i-1, k)+`if`(i>n, 0, b(n-i, i, k)*binomial(i+k-1, k-1))))

    end:

a:= n-> (k-> add(b(n$2, k-i)*(-1)^i*binomial(k, i), i=0..k))(6):

seq(a(n), n=6..30);

CROSSREFS

Column k=6 of A261719.

Sequence in context: A154505 A031538 A202774 * A252439 A224949 A171466

Adjacent sequences:  A293367 A293368 A293369 * A293371 A293372 A293373

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2017

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 16 19:48 EST 2022. Contains 350376 sequences. (Running on oeis4.)