|
| |
|
|
A000910
|
|
5*C(n,6).
(Formerly M3973 N1643)
|
|
6
|
|
|
|
0, 0, 0, 0, 0, 0, 5, 35, 140, 420, 1050, 2310, 4620, 8580, 15015, 25025, 40040, 61880, 92820, 135660, 193800, 271320, 373065, 504735, 672980, 885500, 1151150, 1480050, 1883700, 2375100, 2968875, 3681405, 4530960, 5537840, 6724520, 8115800, 9738960, 11623920, 13803405
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,7
|
|
|
REFERENCES
|
C. Jordan, Calculus of Finite Differences. Budapest, 1939, p. 449.
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
|
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
|
|
|
FORMULA
|
G.f.: 5*x^6/(1-x)^7. [Colin Barker, Mar 01 2012]
|
|
|
MATHEMATICA
|
Table[5Binomial[n, 6], {n, 0, 100}] (* Stefan Steinerberger, Apr 30 2006 *)
|
|
|
CROSSREFS
|
A diagonal of A088617. Equals 5*A000579(n+3) = A080159(n+3, 3).
Cf. A210569.
Sequence in context: A053126 A096743 A026697 * A005562 A097872 A184707
Adjacent sequences: A000907 A000908 A000909 * A000911 A000912 A000913
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
STATUS
|
approved
|
| |
|
|
