|
|
A001346
|
|
a(n) = Sum_{k = 0..4} (n+k)! C(4,k).
(Formerly M5134 N2225)
|
|
4
|
|
|
23, 65, 261, 1370, 8742, 65304, 557400, 5343120, 56775600, 661933440, 8397406080, 115123680000, 1695705580800, 26701944192000, 447579574041600, 7955978033203200, 149473718634240000, 2959340324548608000, 61578385989120000000, 1343454891288846336000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
-1,1
|
|
REFERENCES
|
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
|
|
MATHEMATICA
|
Join[{23}, Table[Sum[(n + k)! Binomial[4, k], {k, 0, 4}], {n, 0, 20}]] (* T. D. Noe, Jun 28 2012 *)
|
|
PROG
|
(PARI) a(n) = if (n==-1, 23, sum(k=0, 4, (n+k)!*binomial(4, k))); \\ Michel Marcus, Jun 30 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|